Find the integral of $\log_{4}\left(x\right)-3\log_{4}\left(y\right)-\log_{4}\left(z\right)$

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$\int\left(\log_{4}\left(x\right)-3\log_{4}\left(y\right)-\log_{4}\left(z\right)\right)dx$

Learn how to solve integral calculus problems step by step online. Find the integral of log4(x)-3log4(y)-log4(z). Find the integral. Expand the integral \int\left(\log_{4}\left(x\right)-3\log_{4}\left(y\right)-\log_{4}\left(z\right)\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\log_{4}\left(x\right)dx results in: x\log_{4}\left(x\right)-\frac{1}{\ln\left(4\right)}x. Multiply the single term -3 by each term of the polynomial \left(y\log_{4}\left(y\right)-\frac{1}{\ln\left(4\right)}y\right).