Final Answer
$y=x+\log_{5}\left(x^{6}\right)$
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Step-by-step Solution
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1
Apply the formula: $a\log_{b}\left(x\right)$$=\log_{b}\left(x^a\right)$, where $a=3$, $b=5$ and $x=x^2$
$x+\log_{5}\left(\left(x^2\right)^3\right)=y$
Learn how to solve logarithmic equations problems step by step online.
$x+\log_{5}\left(\left(x^2\right)^3\right)=y$
Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation x+3log5(x^2)=y. Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right), where a=3, b=5 and x=x^2. Simplify \left(x^2\right)^3 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 3. Multiply 2 times 3. Rearrange the equation.
Final Answer
$y=x+\log_{5}\left(x^{6}\right)$