Final answer to the problem
$x=10$
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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 $32$ in it's prime factors
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$\left(2^{5}\right)^{\left(-x+24\right)}=128^x$
Learn how to solve problems step by step online. Solve the exponential equation 32^(-x+24)=128^x. Decompose 32 in it's prime factors. Simplify \left(2^{5}\right)^{\left(-x+24\right)} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5 and n equals -x+24. Rewrite the power 128^x with base 2. Simplify \left(2^{7}\right)^x using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 7 and n equals x.
Final answer to the problem
$x=10$
