Solve for x log base 6 of x=2

Problem

(log_6)(x)=2

Solution

1. Identify the logarithmic equation in the form (log_b)(x)=y where the base b=6 the argument is x and the exponent y=2

2. Rewrite the equation in its equivalent exponential form using the definition of a logarithm, which states that (log_b)(x)=y is equivalent to by=x

3. Substitute the values into the exponential form to get x=6

4. Evaluate the power by multiplying 6 by itself.

Final Answer

(log_6)(x)=2⇒x=36

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