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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The difference of two logarithms of equal base $b$ is equal to the logarithm of the quotient: $\log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right)$
Learn how to solve definite integrals problems step by step online.
$\frac{\log_{x}\left(3\right)+\log_{x}\left(81\right)}{\log_{x}\left(2187\right)}$
Learn how to solve definite integrals problems step by step online. Condense the logarithmic expression (logx(9)+logx(81)-logx(3))/logx(2187). 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). The sum of two logarithms of the same base is equal to the logarithm of the product of the arguments. Multiply 3 times 81. Apply the change of base formula for logarithms: \log_b(a)=\frac{\log_x(a)}{\log_x(b)}.