Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve for x
- Condense the logarithm
- Expand the logarithm
- Simplify
- Find the integral
- Find the derivative
- Write as single logarithm
- Integrate by partial fractions
- Product of Binomials with Common Term
- Load more...
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.
$\ln\left(3x\sqrt{1+6x}\right)-\ln\left(\left(x-4\right)^{13}\right)$
Learn how to solve expanding logarithms problems step by step online. Expand the logarithmic expression ln((3x(1+6x)^(1/2))/((x-4)^13)). 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). 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).