Question

What is the solution to the equation log 3 x - log 3^2 = 2 ?



x=18

x=12

x=9/2

x=4/3

Answer 1

you Need to apply two rules to simplify this problem
Notice that
1. log(x^(y)) = (y)*log(x)
2. log(x) - log(y) = log(x/y)

Also remember that

10^log(x) = x

Thus by making both sides of the equation exponents to 10 you can eliminate the log and solve for x

Answer 2

1. Simplify (combine logarithms)
2. Eliminate log
3. Solve for x

If you get stuck post and I will help

Answer 3

im stuck :/ im not really sure what to do next?

Answer 4

what have you done so far?

Answer 5

sorry for going something came up that I had to deal with

Answer 6

Look at this rule:
2. log(x) - log(y) = log(x/y)
Now Look at your problem
log(3x) - log(3^2) = 2

Answer 7

The way to simplify this is staring you in the face now :)

Answer 8

remember x and y are any numbers or variables

Answer 9

log(3x) - log(3^2) = 2
=
log(3x/3^(2)) = 2
=
10^(log(3x/3^(2))) = 10^(2)
=
3x/3^(2) = 10^(2)
If you can solve this you can get the answer or conversely you can cut and paste this into
https://www.wolframalpha.com/
to get the answer.

Remember though by not learning this stuff you are only hurting yourself especially if you are under the age of 25.

Answer 10

thank you sorry i was gone when u replied :P