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logarithmic form question

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2 Answers

a) in 6^3=216 the base is 6, the exponent is 3, and "the number" is 216.
the equivalent logarithmic form is log_6(216) = 3.
the two forms contain the same information: base 6, exponent/logarithm 3, number 216
 
b) log_2(sqrt(8))=3/2 written in exponential form is 2^(3/2) = sqrt(8)

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