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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
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$y=\frac{\log \left(\frac{1}{2}x^{-4}+\sqrt[5]{x}+1\right)}{\log \left(5\right)}$
Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation y=log5(0.5*x^(-4)+x^0.2+1). 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. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Combine all terms into a single fraction with 2x^{4} as common denominator. When multiplying exponents with same base we can add the exponents.