Question

9^2x=66

Answer 1

Have you worked with logarithms before?

Answer 2

that's what im doing right now.. I have to solve it by using logarithms. its hard though

Answer 3

So you have the following equation:
\[9^{2x}=66\]You'll start by taking the natural log of both sides. When we take the natural log of the left side, the 2x drops down in front like this:
\[2x \ln 9 = \ln 66\]Now we just need to isolate x. We start by dividing both sides by ln 9:
\[2x=\ln 66 / \ln 9\]Now, just divide both sides by 2, and we're done.

Answer 4

I got 1.7012 and its wrong :/

Answer 5

\[\ln 66 / \ln 9 \approx 1.907\]Now, just divide this by two to get your answer.