Write in Exponential Form log base b of 8=3

Problem

(log_b)(8)=3

Solution

1. Identify the components of the logarithmic equation (log_b)(x)=y where b is the base, x is the argument, and y is the exponent.

2. Apply the definition of a logarithm, which states that (log_b)(x)=y is equivalent to the exponential form by=x

3. Substitute the given values into the exponential structure, using b as the base, 3 as the exponent, and 8 as the result.

Final Answer

(log_b)(8)=3⇒b3=8

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