Convert to Logarithmic Form 12^(x/6)=18

Problem

12^x/6=18

Solution

1. Identify the base, the exponent, and the result of the exponential equation.

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

3. Substitute the values into the logarithmic form, where the base b=12 the result a=18 and the exponent y=x/6

Final Answer

12^x/6=18⇔(log_12)(18)=x/6

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