Final answer to the problem
$x=\frac{5}{2}$
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Step-by-step Solution
Learn how to solve exponential equations problems step by step online. Solve the exponential equation 4^x=32. Decompose 4 in it's prime factors. Simplify \left(2^{2}\right)^x using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals x. Rewrite the number 32 as a power with base 2 so that we have exponentials with the same base on both sides of the equation. If the bases are the same, then the exponents must be equal to each other.
Final answer to the problem
$x=\frac{5}{2}$
Exact Numeric Answer
$x=2.5$
