Question

find x

10^x = 5

Answer 1

x = log(5)

Answer 2

That logarithm is base 10, so i didn't write the base.

Answer 3

log(5) = 0.698970004

Answer 4

More specifically, the reasoning fo rthe answer is that taking the base 10 logrithm of both sides gives you \[x*\log(10) = \log(5)\] and \[\log(10) = 1\] so you're left with \[x = \log(5)\]

Answer 5

Yes, a^x = y is the same as x = log<base a>(y)
"A to the x equals y" is the same as "x equals logarithm, base a, of y"

Here's more *readable* ;) info:
http://oakroadsystems.com/math/loglaws.htm