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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Applying the product rule for logarithms: $\log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right)$
Learn how to solve condensing logarithms problems step by step online.
$\ln\left(\frac{x}{x-9}\frac{x+9}{x}\right)-\ln\left(x^2-81\right)$
Learn how to solve condensing logarithms problems step by step online. Condense the logarithmic expression ln(x/(x-9))+ln((x+9)/x)-ln(x^2-81). Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right). Multiplying fractions \frac{x}{x-9} \times \frac{x+9}{x}. Simplify the fraction \frac{x\left(x+9\right)}{\left(x-9\right)x} by x. The difference of two logarithms of equal base b is equal to the logarithm of the quotient: \log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right).