# Thread: Solving an Equation

1. ## Solving an Equation

$7^{2x}=3*2^{x+2}$

I know you have to use logs but i cant get the x's on one side after i do that.

2. $(7^2)^x=3\cdot 2^x\cdot 2^2$

$49^x=12\cdot 2^x$

$\left(\frac{49}{2}\right)^x=12$

Apply log in both members

$\log\left(\frac{49}{2}\right)^x=\log 12$

$x=\frac{\log 12}{\log\frac{49}{2}}=\frac{2\log 2+\log 3}{2\log 7-\log 2}$