Final answer to the problem
$x=\frac{5}{2}$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve for x
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
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1
Decompose $4$ in it's prime factors
Learn how to solve exponential equations problems step by step online.
$\left(2^{2}\right)^x=32$
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
$x=2.5$
