Write in Exponential Form log base x of 6=1/2

Problem

(log_x)(6)=1/2

Solution

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

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

3. Substitute the given values into the exponential form: the base b is x the exponent a is 1/2 and the result y is 6

Final Answer

(log_x)(6)=1/2⇒x1/2=6

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