Help on Exponential Question? Thank you!

**pumbaa213** · March 2nd 2013, 06:39 PM

Solve the following equation:

(4^x)(3^2x)=6

Answer is x=1/2

I tried it many times but cant get the answer

A little help please?

Thank you very much and have a good day!

**Plato** · March 2nd 2013, 07:01 PM

Originally Posted by pumbaa213

Solve the following equation:

(4^x)(3^2x)=6 , Answer is x=1/2

$\begin{align*}2^{2x}\cdot 3^{2x}&=2\cdot 3 \\2^{2x-1}\cdot 3^{2x-1}&=1 \\6^{2x-1}&=1\\x&=\tfrac{1}{2}\end{align*}$

**pumbaa213** · March 2nd 2013, 07:27 PM

Finally! An answer! Thank you soooooo much for the help! now i can finally go on to my other questions

D

Thread: Help on Exponential Question? Thank you!