# Solving for x using Logarithms

• January 31st 2011, 04:18 PM
rtblue
Solving for x using Logarithms
Hey guys, I was going over a study guide my teacher gave me for an upcoming test, and couldn't get one of the problems:

Use common logarithms to solve for x in terms of y:

$\displaystyle y=\frac{10^x-10^{-x}}{2}$

Any help is appreciated. Thank You.
• January 31st 2011, 04:45 PM
topsquark
Let me start you off with one method. Let z = 10^x. Then your equation reads

y = (1/2)*(z + [1/z])

Can you solve this for z?

-Dan
• January 31st 2011, 04:57 PM
rtblue
Thanks, I can take it from here.