Exponents and Logs

**nuckers** · June 2nd 2010, 06:04 PM

If the point (3,10) is on the graph of $y=a^x$ , then what is the point on the graph of $y=logax$ 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

**Prove It** · June 2nd 2010, 06:25 PM

Originally Posted by nuckers

If the point (3,10) is on the graph of $y=a^x$ , then what is the point on the graph of $y=logax$ 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

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

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

**nuckers** · June 2nd 2010, 06:36 PM

Originally Posted by Prove It

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

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

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

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