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
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Using the power rule of logarithms: $n\log_b(a)=\log_b(a^n)$, where $n$ equals $\mathrm{cosh}\left(2x\right)-\mathrm{sinh}\left(2x\right)$
Learn how to solve condensing logarithms problems step by step online.
$\ln\left(\left(4x-\mathrm{sinh}\left(4x\right)\right)\mathrm{cosh}\left(x\right)\right)+\ln\left(x^{\left(\mathrm{cosh}\left(2x\right)-\mathrm{sinh}\left(2x\right)\right)}\right)$
Learn how to solve condensing logarithms problems step by step online. Condense the logarithmic expression ln(cosh(x)(4x-sinh(4x)))+ln(x)(cosh(2x)-sinh(2x)). Using the power rule of logarithms: n\log_b(a)=\log_b(a^n), where n equals \mathrm{cosh}\left(2x\right)-\mathrm{sinh}\left(2x\right). Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right).