Final answer to the problem
$x=\frac{5}{2}$
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1
Apply the formula: $x^b$$=pfgmin\left(x\right)^b$, where $b=x$ and $x=4$
$\left(2^{2}\right)^x=32$
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$\left(2^{2}\right)^x=32$
Learn how to solve problems step by step online. Solve the exponential equation 4^x=32. Apply the formula: x^b=pfgmin\left(x\right)^b, where b=x and x=4. 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. Apply the formula: x^a=y\to x^a=pfgg\left(y,x\right), where x^a=y=2^{2x}=32, a=2x, x=2, y=32 and x^a=2^{2x}. Apply the formula: a^b=a^c\to b=c, where a=2, b=2x and c=5.
Final answer to the problem
$x=\frac{5}{2}$
Exact Numeric Answer
$x=2.5$
