Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve for x
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
- Load more...
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 logarithmic equations problems step by step online.
$\ln\left(\frac{x^3-4}{x^2-2x}\right)=\ln\left(x+2\right)$
Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation ln(x^3-4)-ln(x^2-2x)=ln(x+2). 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). For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \ln(a)=\ln(b) then a must equal b. Factor the polynomial x^2-2x by it's greatest common factor (GCF): x. Multiply both sides of the equation by x\left(x-2\right).