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Evaluate the following expression. Log8 64
4 months ago
Q:
Evaluate the following expression. Log8 64
Accepted Solution
A:
Answer:2Step-by-step explanation:Using the rule of logarithms• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]let [tex]log_{8}[/tex] 64 = n, then64 = [tex]8^{n}[/tex]note that 64 = 8², thus8² = [tex]8^{n}[/tex] ⇒ n = 2