Write in Exponential Form log base x of 100=2

Problem

(log_x)(100)=2

Solution

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

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

3. Substitute the given values into the exponential form: the base is x the exponent is 2 and the result is 100

Final Answer

x2=100

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