Question

Without using the calculator, evaluate 3^1/q, given that q = log base 4 of 3.

Answer 1

\[q=\log_{4} 3\]so,\[3^{\frac{1}{q}}=3^{-q}=3^{-\log_{4}3} \]

Answer 2

hint : if q = log base 4 of 3
then 1/q = log base 3 of 4.

Answer 3

so, what's would be
3^1/q = 3^( log base 3 of 4) = ...
use the property of log :