Use Logarithms to Solve the Exponential Equation 5^(2x)=16 - Two Methods

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How to solve an exponential equation when it is not possible to write the both sides with the same base.
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So that answer would better be expressed in simplified form of (ln 4) / (ln 5). The initial step should have included converting 16 to a quadratic 4 so that the twos divided out upon taking logarithms bilaterally.

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