# Exponents and Logs

• Jun 2nd 2010, 06:04 PM
nuckers
Exponents and Logs
If the point (3,10) is on the graph of \$\displaystyle y=a^x\$, then what is the point on the graph of \$\displaystyle y=logax\$ a is the base, not sure how to make it look that way.
How do i do this, i get an answer of 1.12 and -1.12
• Jun 2nd 2010, 06:25 PM
Prove It
Quote:

Originally Posted by nuckers
If the point (3,10) is on the graph of \$\displaystyle y=a^x\$, then what is the point on the graph of \$\displaystyle y=logax\$ a is the base, not sure how to make it look that way.
How do i do this, i get an answer of 1.12 and -1.12

\$\displaystyle y = \log_a{x}\$ is the inverse function of \$\displaystyle y = a^x\$.

So the \$\displaystyle x\$ and \$\displaystyle y\$ values swap.
• Jun 2nd 2010, 06:36 PM
nuckers
Quote:

Originally Posted by Prove It
\$\displaystyle y = \log_a{x}\$ is the inverse function of \$\displaystyle y = a^x\$.

So the \$\displaystyle x\$ and \$\displaystyle y\$ values swap.

So your telling me that the answer would be (10,3), i was looking for some fancy formula,