Final answer to the problem
$y=e^{\left(\sqrt[3]{\ln\left(\frac{\left(x^{2}+4x+4\right)\left(x^2+3\right)}{\left(3x-5\right)^5}\right)}\right)}$
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Step-by-step Solution
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- Derivative
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1
Expand the expression $\left(x+2\right)^2$ using the square of a binomial: $(a+b)^2=a^2+2ab+b^2$
Learn how to solve logarithmic equations problems step by step online.
$\ln\left(y\right)=\sqrt[3]{\ln\left(\frac{\left(x^{2}+4x+4\right)\left(x^2+3\right)}{\left(3x-5\right)^5}\right)}$
Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation ln(y)=ln(((x+2)^2(x^2+3))/((3x-5)^5))^(1/3). Expand the expression \left(x+2\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Take the variable outside of the logarithm. Simplifying the logarithm.
Final answer to the problem
$y=e^{\left(\sqrt[3]{\ln\left(\frac{\left(x^{2}+4x+4\right)\left(x^2+3\right)}{\left(3x-5\right)^5}\right)}\right)}$
