Write in Exponential Form log base x of y=2

Problem

(log_x)(y)=2

Solution

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

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

3. Substitute the given values into the exponential structure: the base is x the exponent is 2 and the result is y

Final Answer

(log_x)(y)=2⇔x2=y

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