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- Solve for x
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
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Divide both sides of the equation by $2$
Learn how to solve logarithmic equations problems step by step online.
$\log_{2}\left(x\right)=\frac{3}{2}$
Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation 2log2(x)=3. Divide both sides of the equation by 2. 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=3, b=10 and x=2.