Exercise
$\ln\left(\frac{6}{5x^5y}\right)$
Step-by-step Solution
Learn how to solve expanding logarithms problems step by step online. Expand the logarithmic expression ln(6/(5x^5y)). The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. Decompose 6 in it's prime factors. Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right). Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right).
Expand the logarithmic expression ln(6/(5x^5y))
Final answer to the exercise
$\ln\left(2\right)+\ln\left(3\right)-5\ln\left(x\right)-\ln\left(y\right)-\ln\left(5\right)$