which logarithmic equation is equivalent to 8² = 64?\n2 = log₈64\n2 = log₆₄8\n8 = log₂64\n64 = log₂8
which logarithmic equation is equivalent to 8² = 64?\n2 = log₈64\n2 = log₆₄8\n8 = log₂64\n64 = log₂8
Answer
Explanation:
Step1: Recall the logarithm - exponent conversion rule
The general rule is if (a^b = c), then (b=\log_a c), where (a>0,a\neq1), (c > 0). In the equation (8^2 = 64), (a = 8), (b = 2) and (c=64).
Step2: Apply the rule
By the rule (a^b = c\Leftrightarrow b=\log_a c), we get (2=\log_8 64).
Answer:
A. (2 = \log_8 64)