Question

Simplify 3^4(log_3(2x))

Answer 1

use exponent laws\[x^{ab}=(x^a)^b=(x^b)^a\]

Answer 2

is this
\[3^{4\log_3(2x)}\]?

Answer 3

yes

Answer 4

then start with the fact that
\[4\log_3(2x)=\log_3((2x)^4)=\log_3(16x^4)\]

Answer 5

Okay.. What next?

Answer 6

\[b^{\log_b(z)}=z\]

Answer 7

so
\[3^{\log_3(16x^4)}=16x^4\]

Answer 8

Okay, thank you!