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The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator
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$\int\left(\ln\left(2\right)-\ln\left(x\right)\right)dx$
Learn how to solve problems step by step online. Solve the integral of logarithmic functions int(ln(2/x))dx. The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. Simplify the expression inside the integral. The integral \int\ln\left(2\right)dx results in: \ln\left(2\right)x. Multiply the single term -1 by each term of the polynomial \left(x\ln\left(x\right)-x\right).