Final Answer
Step-by-step Solution
Specify the solving method
The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator
Learn how to solve expanding logarithms problems step by step online.
$\ln\left(\left(3x+22\right)^2\left(-9+e^{2x}\right)\right)-\ln\left(\sqrt[4]{\left(6x^2+2\right)^3}\right)$
Learn how to solve expanding logarithms problems step by step online. Expand the logarithmic expression ln(((3x+22)^2(-9+e^(2x)))/((6x^2+2)^3^1/4)). The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right).