If log 2 = x and log 3 = y, write each logarithm in terms of x and y.

a) log 18
b) log 9

Answers

Answer 1

Step-by-step explanation:

log18 = log2 + log3 + log3 = x + 2y.

log9 = log3 + log3 = 2y.


Related Questions

Which of the following best describes an Extraneous Solution?

Answers

Answer:

An extraneous solution is a solution obtained through algebraic manipulations that is not a solution to the original equation.

Step-by-step explanation:

An extraneous solution is a solution obtained through algebraic manipulations that is not a solution to the original equation.

What is the area of the triangle?

48 in 2
28 in 2
96 in 2
24 in 2

Answers

Answer:

48 in^2

Step-by-step explanation:

To find the area of a triangle is (1/2)*base*height, so (1/2)*4in*24in = 2in*24in = 48 in^2.

Answer:

48 in2

Step-by-step explanation:

when finding area we use the equation A= 1/2bh

b meaning base and h meaning height

so for this we would use A= 1/2(24)(4)

multiply them both to get A=1/2(96)

and then take half of 96 to get 48

so the answer is 48in 2

PLEASE HELP FAST MAKE SURE YOU READ IT CORRECT I WILL GOVE BRAINLIST AND EXTRA POINTS PLEASE HELP!

Answers

Answer:

f(5) = 3

Step-by-step explanation:

f(x) is the y coordinate at x.

At x = 5, y = 3, so f(5) = 3.

18 vocabulary words learned in 2 hours; 27 vocabulary words learned in 3 hours

Answers

Answer: They are equivalent

Step-by-step explanation:

Here is the complete question:

18 vocabulary words learbed in 2 hours 27 vocabulary words learned in 3 hours Are they equivalent? Why

From the question, we are informed that 18 vocabulary words are learned in 2 hours. The number of words learned per hour will be:

= 18/2

= 9 words per hour.

27 vocabulary words learned in 3 hours. The number of words learned per hour will be:

= 27/3

= 9 words per hour.

Since they both have identical number of words learned per hour, it means that they're equivalent.

Help pls ASAP thank you !!!

Answers

Answer:

I haven't learned this but I think it's D.

Step-by-step explanation:

5x-2x(x-1)=???????????????????????????????​

Answers

Answer:

7x-2x"2

Step-by-step explanation:

Answer:

it is

7x-2x^2

Step-by-step explanation:

5x+2x-2x^2 = 7x-2x^2

The equation y = 3.5 x − 210 y=3.5x−210 represents the profit made by a manufacturer that sells products for $3.50 each, where y is the profit and x is the number of units sold. what is the profit in dollars when 80 units are sold?

Answers

Answer:

the answer is c

Step-by-step explanation:

took the test

What is the value of y in the equation 2(2y − 12) = 0? (5 points) a 4 b 6 c 7 d 8

Answers

Answer:

A-6

Step-by-step explanation:

Answer:

ans 6

Step-by-step explanation:

by expanding the equation,

4y-24=0

4y=24

y=6

I’ll give brainliest

Answers

Answer:

I don't know nothing about this lol...

Step-by-step explanation:

What the solution to -8+x=3

Answers

Answer:

x=11

Step-by-step explanation:

We would add 8 to both sides of the equation, leaving us with x=11

Solve the inequality.
4x - 12 < 16

Answers

Answer:

x<7

I Believe

                     

Choose the prime number. 25, 27, 31, 32, 44, 45

Answers

Answer:

the prime number is 31

Step-by-step explanation:

hi I got it right

31 IS A PRIMR NUMBER

In the number 3,591,367 what does the 9 represent

Answers

What is the significance of the number 9?

Number 9 is perceived as a symbol of love and faith, but it can also symbolize karma and the spiritual laws of the universe. Receiving this number means that your life purpose may be helping other people and doing something good for others.

Answer

The nine is in the ten thousands place so it represents 90 thousand

Step-by-step explanation:

if 3 pipes can fill the tank completely in 2 hour then when will 1 pipe fill the tank​

Answers

Answer:

6 hours

Step-by-step explanation:

What is the radius of the base of the cylinder below?

A cylinder with height of 36 inches and diameter of 42 inches.

inches

Answers

Answer:

21

Step-by-step explanation:

Can someone please help me
Which value is equivalent to the expression 3^(-3)? *
A.1/27
B.1/9
C.-9
D.-27

Answers

Answer:

A. 1/27

Step-by-step explanation:

I WILL GIVE BRAINLIEST FOR FASTEST AND CORRECT ANSWERS!!
Alex was biking along a 48 mile trail. First half of the time he was biking twice as fast as the second half of the time. If he spent 4 hours on the road, how fast was he biking at first?

Answers

Answer:

The speed in the first part is 16 mph.

Step by step explanation:

The total distance is 48 miles. The total time is 4 hours.

In the second part of the trip, he was traveling at speed s for distance d for 2 hours.

In the first part of the trip he was traveling

at twice the speed, or 2s, for distance 48 - d, for 2 hours.

speed = distance/time

distance = speed * time

First part of trip:

48 - d = 2s * 2

d + 4s = 48 Equation 1

Second part of the trip:

d = s * 2

d = 2s =

Equation 2

Equations 1 and 2 form a system of equations in two unknowns, d and s.

d + 4s = 48

d = 2s

Substitute 2s for d in equation 1.

2s + 4s = 48

6s = 48 =

s=8

The speed in the second part is 8 mph.

The speed in the first part is 2s = 2(8) =

16.

The speed in the first part is 16 mph.

Check:

d = 2s = 2(8) = 16

48 - d = 48 - 16 = 32

The second part is 16 miles. The first part is 32 miles.

16 miles at 8 mph takes 2 hours.

32 miles at 16 mph takes 2 hours.

2 hours + 2 hours = 4 hours.

Our answer is correct.

Answer: The speed in the first part is 16 mph.

Simplify each expression.
2y+ (4 + 5y). 2d(3). Simplify those two please please answer i will give brainliest!

Answers

Answer:

7y + 4

Step-by-step explanation:

2y + 5y+4

add 2y and 5y

7y+ 4

Answer:

7y +4

Step-by-step explanation:

Open up the brackets ans collect your like terms and simplify the expression.

Please help meeeee :,(

Answers

Answer:

I pretty sure the answer is ASA, I hope it's right!

can anyone please help!!!

Answers

Answer:

Question 9

(a) The distance, Jalaj walks in one day is 4.4 km

(b) The amount Jalaj raises after walking for 22 km at the end of the 5 days is $8

Question 10

(b) The difference between the largest and smallest areas is 2,400 m²

Step-by-step explanation:

Question 9

(a) The distance Jalaj walks in 5 days = 22 km

Whereby Jalaj walks equal distance every day, we have;

The distance, Jalaj walks in one day = 22 km/5 days = 4.4 km/day

The distance, Jalaj walks in one day = 4.4 km

(b) The amount he raises for every kilometer he walks = $1.60

The amount he raises after walking for 22 km at the end of the 5 days = 5 × $1.60  = $8

Question 10

(b) The given side length of the square = 120 meters to the nearest 10 meters

Therefore;

The maximum dimension for the side length of the square = 120 + 10/2 = 125

The largest possible area of the square, [tex]A_l[/tex] = 125 m × 125 m = 15,625 m²

The minimum dimension for the side length of the square = 120 m - 10 m/2 = 115 m

The smallest possible area of the square, [tex]A_s[/tex] = 115 m × 115 m = 13,225 m².

The difference between the largest and smallest areas, [tex]A_l[/tex] - [tex]A_s[/tex] = 15,625 - 13,225 = 2,400 m².

Write the value of 3 in the following number: 998.736I

Answers

Answer:

Hundreths 3 is in the hundreths

Step-by-step explanation:

Answer: 3 is in the (hundredths)

Explanation: because ‘1’ is in the ones place
‘6’ is in the tenths place
so ‘3’ is in the hundredths

Which is the graph of f(x) = |x| +3? ​

Answers

I think it’s C because the point is at 3

Question 3 of 8 Which of the symbols correctly relates the two numbers below? Check all that apply. 19 ? 20

A.=/

B. =

C. <_

D. >_

E. >

F. <​

Answers

Answer:

a and d

Step-by-step explanation:

it has a ratio comparison

helppppp pleaseeeeeeeeeeeeeeeeeeeee

Answers

Answer:

Communicative property is the third one second one is assositave  and first one is distributive

Step-by-step explanation:

A line is perpendicular to the line given by the equation - 8 = 2y + 3x. What is the slope of the perpendicular line? 3​

Answers

Answer:

2/3 is the slope of the perpendicular line

Step-by-step explanation:

1) put into slope-intercept form (y=mx+b)

-8=2y+3x

-2y=3x+8

y=-3/2x-4

2) the line is perpendicular so the slope will be opposite and the reciprical of the original slope.

so, because the original was -3/2, the new one is 2/3

true or false im dumb sorry

Answers

Answer:

False

Step-by-step explanation:

Tell me if you need an explanation

Answer:

it's false.

4×4×4= 64.

-2g – 2m + 5, when g=-3 and m= 10

Answers

Answer:

9

Step-by-step explanation:

-2g- 2m+ 5

-2(-3) - 2(10) +5

6- 20+ 5

9


At her two-year well visit, Lucy was
33 inches tall. At her three-year well visit,
she was 36 inches tall. What was Lucy's
approximate percent increase in height?
Please help me

Answers

Okay first of all who is Lucy and why is she important ?

Answer:

109% or 110% if you round

Step-by-step explanation:

36/33 to get change in percent

Owen made exactly 72% of his free throws during the first half of the basketball season, and he made six free throws during the second half of the season. For the entire season he made exactly 60% of his free throws. What is the fewest possible number of free throws Owen could have attempted during the second half of the season?

Answers

Answer:

The fewest possible number of free throws Owen attempted is 15 throws

Step-by-step explanation:

From the first half,

72% = 72/100 = 18/25, reduced to its simplest ratio.

It means that he made at least 18 free throws in the first half of the season.

From the second half,

Let x be the fewest possible outcome of free throws, and the sum of total is 60% = 60/100 = 0.6

Considering the 6 free throws during the second half of the season,

(18+6)/(25+x) = 0.6

24/(25+x) = 0.6

Solving for x,

24 = 0.6(25+x)

24 = 15+0.6x

24-15 = 0.6x

9 = 0.6x

x = 9/0.6 = 15

x = 15 free throws

The fewest possible number of free throws Owen attempted is 15 throws

solve for a
15=3(a+7)

Answers

Answer:

a = -2

Step-by-step explanation:

15 = 3(a+7)

15 = 3a + 21

-6 = 3a

a = -2

A=-2 is the correct answer
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