Question

1. simplify the expression. (log_{9} 9^{3x} = square)

Explanation:

Step1: Rewrite 8 as power of 2

$8 = 2^3$

Step2: Substitute into the expression

$\log_{2}(2^3)^{3x}$

Step3: Simplify exponent using power rule

$\log_{2}2^{9x}$

Step4: Apply logarithm identity $\log_b b^k=k$

$\log_{2}2^{9x} = 9x$

Answer:

$9x$