Question

convert each logarithmic equation into its equivalent exponential form.

a) \\(\log_{3}(9) = 2\\)

exponential equation

b) \\(\log_{2}(16) = 4\\)

exponential equation

c) \\(\log_{4}(64) = 3\\)

exponential equation

Explanation:

Apply logarithmic to exponential definition

$$ \log_b(x) = y \iff b^y = x $$

Convert equation a

$$ \log_3(9) = 2 \implies 3^2 = 9 $$

Convert equation b

$$ \log_2(16) = 4 \implies 2^4 = 16 $$

Convert equation c

$$ \log_4(64) = 3 \implies 4^3 = 64 $$

Answer:

Question a

\(3^2 = 9\)

Question b

\(2^4 = 16\)

Question c

\(4^3 = 64\)