Question

Please help simplify this expression:
2 log (base 4) ^9 - log (base 2) ^3


The answer should be
log(base 2) ^3

Answer 1

The answer should actually be
Log (base 4) ^27

Answer 2

Note that since 4 = 2^2, log_2(x) = 2log_4(x)

That is, 4^n = 2^2n

So, we have

2log_4(9) - log_2(3)
= log_2(9) - log_2(3)
= log_2(9/3)
= log_2(3)

Not sure where you got log_4(27). If that's the solution given, it is bogus.