Convert to Logarithmic Form 6^(2x)=25

Problem

6(2*x)=25

Solution

1. Identify the base, the exponent, and the result in the given exponential equation by=x

2. Recognize the components where the base b=6 the exponent y=2*x and the result x=25

3. Apply the definition of a logarithm, which states that by=x is equivalent to (log_b)(x)=y

4. Substitute the values into the logarithmic form to isolate the exponent.

Final Answer

6(2*x)=25⇔(log_6)(25)=2*x

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