# Math Help - exponential equation

1. ## exponential equation

I'm a little lost... I get all messed up when new things get thrown in please help!
solve
7*3^x=10-3^x
it has to be an exact answer... I don't know how to arrive there!

2. $7 \cdot 3^x = 10 - 3^x
$

$8 \cdot 3^x = 10$

$3^x = \frac{5}{4}$

can you finish?

3. I feel a little stupid now... thank you very much for your help!