Final answer to the problem
$x=\frac{25+\sqrt{925}}{10},\:x=\frac{25-\sqrt{925}}{10}$
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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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$\left(2^{5}\right)^{\left(x^2-5x-3\right)}=1$
Learn how to solve problems step by step online. Solve the exponential equation 32^(x^2-5x+-3)=1. Decompose 32 in it's prime factors. Simplify \left(2^{5}\right)^{\left(x^2-5x-3\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^2-5x-3. Solve the product 5\left(x^2-5x-3\right). Multiply the single term 5 by each term of the polynomial \left(-5x-3\right).
Final answer to the problem
$x=\frac{25+\sqrt{925}}{10},\:x=\frac{25-\sqrt{925}}{10}$
