Final answer to the problem
$x=\frac{\log_{48}\left(7\right)}{2}$
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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 $48$ in it's prime factors
$\left(32^{4}\right)^{2x}=7$
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$\left(32^{4}\right)^{2x}=7$
Learn how to solve problems step by step online. Solve the exponential equation 48^(2x)=7. Decompose 48 in it's prime factors. 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. Calculate the power 2^{4}.
Final answer to the problem
$x=\frac{\log_{48}\left(7\right)}{2}$
Exact Numeric Answer
$x=0.2513316$
