# Math Help - Solve for x

1. ## Solve for x

Solve for x: logbx = (3/2)logb4-(2/3)logb8+2logb2

2. Originally Posted by dc52789
Solve for x: logbx = (3/2)logb4-(2/3)logb8+2logb2
Apply various rules of logarithms to get all the terms on the right side of the equation in one logarithm.

$\log_bx=\log_b(8)-\log_b(4)+\log_b(4)\implies\log_bx=\log_b(?)$

I leave it for you to fill in the ?.

Then x = ?.

Can you take it from here?

--Chris

w00t!! my 12th post!!!

3. Originally Posted by Chris L T521
Apply various rules of logarithms to get all the terms on the right side of the equation in one logarithm.

$\log_bx=\log_b(8)-\log_b(4)+\log_b(4)\implies\log_bx=\log_b(?)$

I leave it for you to fill in the ?.

Then x = ?.

Can you take it from here?

--Chris

w00t!! my 12th post!!!
so...is the answer x = 8?

4. yes, x = 8

5. Originally Posted by Shyam
yes, x = 8
sweet ^^