Final answer to the problem
$x=\frac{\log_{2}\left(16\sqrt{128}\right)}{2}$
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Step-by-step Solution
How should I solve this problem?
- Factor by completing the square
- Solve for x
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
- Find the integral
- Find the derivative
- Factor
- Find the roots
- Find break even points
- Load more...
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1
Decompose $4$ in it's prime factors
$\left(2^{2}\right)^x=16\sqrt{128}$
Learn how to solve exponential equations problems step by step online.
$\left(2^{2}\right)^x=16\sqrt{128}$
Learn how to solve exponential equations problems step by step online. Solve the exponential equation 4^x=16128^(1/2). 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. We can take out the unknown from the exponent by applying logarithms in base 10 to both sides of the equation. Use the following rule for logarithms: \log_b(b^k)=k.
Final answer to the problem
$x=\frac{\log_{2}\left(16\sqrt{128}\right)}{2}$
Exact Numeric Answer
$x=3.75$
