If e^6x = 16 then x =?

Question

(2/3) ln 2 ?

Answer 1

x= ln(16)/6 or (1/3)ln(4) or your answer. But go with your answer it is in simplest form.

Answer 2

Add ln to both sides
ln (e^6x) = ln 16
6x = ln 16
6x = ln 2^4
6x = 4 ln 2
x = (2/3) ln 2
An alternative way would changing ln 16 to ln4^2. Then your final answe would be (1/3) ln 4

Answer 3

x = ln (16^1/6) = ln(4^1/3)= ln (2^2/3) = 2/3 ln2

well ln2 approximately is 0.693147181 so just calculate it.

Answer 4

e^6x = 16

ln( e^6x) = ln( 16)

6x = ln(16)

x = (1/6) ln(16)