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- Derivative
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For two logarithms of the same base to be equal, their arguments must be equal. In other words, if $\ln(a)=\ln(b)$ then $a$ must equal $b$
Learn how to solve integrals of rational functions problems step by step online.
$y=\sqrt[18]{\left(x^{10}+1\right)^3\left(x^7-3\right)^8}$
Learn how to solve integrals of rational functions problems step by step online. Solve the logarithmic equation ln(y)=ln(((x^10+1)^3(x^7-3)^8)^(1/18)). For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \ln(a)=\ln(b) then a must equal b. The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt{\left(x^{10}+1\right)^3} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{1}{18}. Simplify \sqrt{\left(x^7-3\right)^8} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 8 and n equals \frac{1}{18}.
