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
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$\frac{2}{3}\left(\ln\left(e^x\sqrt{2x-4}\right)-\ln\left(4x^2\left(3x-7\right)\right)\right)$
Learn how to solve problems step by step online. Expand the logarithmic expression 2/3ln((e^x(2x-4)^(1/2))/(4x^2(3x-7))). The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. 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). Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right).