Question

Solve for x

83=27^x

Consider that:
log(a^x)=x (times) log(a)

Answer 1

It looks like you already have your answer there. So just apply it and solve for x.

Answer 2

\[\log(83)=xlog(27)\]
\[x=\frac{\log(83)}{\log(27)}\]

Answer 3

on the log(27) part, do you just ignore the x over the 27 ? or where did it goes ?

Answer 4

That's where the rule comes in. if 8=2^3 then log8=3log2