Write in Exponential Form log base 3 of square root of x-2=2

Problem

(log_3)(√(,x−2))=2

Solution

1. Identify the components of the logarithmic equation (log_b)(y)=a where the base b is 3 the argument y is √(,x−2) and the exponent a is 2

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

3. Substitute the values into the exponential form to rewrite the equation.

Final Answer

(log_3)(√(,x−2))=2⇔3^2=√(,x−2)

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