Question

solve for x 12^x=25

Answer 1

use logirithems to solve

Answer 2

I understand that I have to use logs, don't know how.

Answer 3

\[\log_ab = c \rightarrow a^c = b\]

Answer 4

ln(12^x)=ln(25)
x ln(12)=ln(25)
x=ln(25)/ln(12)

Answer 5

12^x = 25
Take the log10 of both sides.
THen you have 12 log10(x) = log10(25)
Divide through by 12.
x = log10(25)/log10(12)

x= 1.29

Answer 6

Just remember that a log is just an exponent. The same rules apply.
x^2/x^4 = x^(2-4) and x^2*x^4=x^(2+4)
Same goes for logs.