Solve an exponential equation by taking log of both sides & approximating the value

The video tutorial explains how to solve for X in an equation where the bases are different and cannot be rewritten to match. The instructor introduces the use of logarithms, specifically taking the log of both sides of the equation, to solve for X. The tutorial also covers the change of base formula, which is necessary when calculators only support base 10 logarithms. The process involves calculating log base 5 divided by log base 3 to find the solution, which is approximately 1.5 when rounded to the tenth.

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