Step-by-step Solution
Problem to solve:
$\ln\left(\frac{1}{x}\right)+\ln\left(2x^3\right)=\ln\left(486\right)-\ln\left(3\right)$
Choose the solving method
Learn how to solve rational equations problems step by step online.
$-\ln\left(x\right)+\ln\left(2x^3\right)=5.087596$
Learn how to solve rational equations problems step by step online. Solve the equation ln(1/x)+ln(2x^3)=ln(486)-ln(3). The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. 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). Simplify the fraction by x. Take the variable outside of the logarithm.
Final Answer
$x=9$