1. ## General Exponents Question

The question is:

2^x = 512

I know how to solve this problem through just multiplying by two. I found that it was 9, but how would one solve this equation without going the long way? Such as:

5^x = 625

Thanks

2. [QUOTE=Xavier20;34022]
5^x = 625

Thanks
Take the logarithm of both sides,
$\log 5^x = \log 625$
$x\log 5=\log 625$
$x=\frac{\log 625}{\log 5}$
Use calculator to compute the answer.

3. Thanks a bunch.