Use the definition of logarithms to translate among logarithms in any base.
Solve a logarithmic equation by rewriting it in exponential form
Problem
What is the solution to the logarithmic equation \(\log_2(x)=5\)?
Big Picture
What this problem is really about
Use the logarithm definition to move the unknown argument into an exponential equation. The log value becomes the exponent on the stated base, so evaluating that power isolates the unknown directly. Finish by confirming the result is positive and reproduces the original logarithmic statement.
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