Final answer to the problem
$x=\sqrt[3]{16}$
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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
Divide both sides of the equation by $3$
Learn how to solve logarithmic equations problems step by step online.
$\log_{2}\left(x\right)=\frac{4}{3}$
Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation 3log2(x)=4. Divide both sides of the equation by 3. Change the logarithm to base 10 applying the change of base formula for logarithms: \log_b(a)=\frac{\log_{10}(a)}{\log_{10}(b)}. Since \log_{10}(b)=\log(b), we don't need to write the 10 as base. Apply fraction cross-multiplication. Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right), where a=4, b=10 and x=2.
Final answer to the problem
$x=\sqrt[3]{16}$
Exact Numeric Answer
$x=2.5198421$
