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Exercise

$\log_b\left(243\right)=5$

Step-by-step Solution

Learn how to solve problems step by step online. Solve the logarithmic equation logb(243)=5. Change the logarithm to base x applying the change of base formula for logarithms: \log_b(a)=\frac{\log_x(a)}{\log_x(b)}. If the argument of the logarithm (inside the parenthesis) and the base are equal, then the logarithm equals 1. Take the reciprocal of both sides of the equation. Any expression divided by one (1) is equal to that same expression.
Solve the logarithmic equation logb(243)=5

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Final answer to the exercise

$b=3$

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