Question

Find all real solutions of
1/3log2(x + 6) = log2^(3).

Answer 1

\[\huge \frac{1}{3}\log_2(x+6) = \log_23\]

Like this?

Answer 2

\[\large \log_2(x+6)^{\frac{1}{3}} = \log_23 \rightarrow \sqrt[3]{x+6} =3\]

Can you take it from here?

Answer 3

no

Answer 4

x+6 = (3)^3

Answer 5

x+6 = 27...
x = 21