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Exercise

log⁡x−2⋅log⁡x+3⋅log⁡(x+1)−log⁡(x2−1)\log x-2\cdot\log x+3\cdot\log\left(x+1\right)-\log\left(x^2-1\right)

Step-by-step Solution

1

Combining like terms log⁡(x)\log \left(x\right) and −2log⁡(x)-2\log \left(x\right)

−log⁡(x)+3log⁡(x+1)−log⁡(x2−1)-\log \left(x\right)+3\log \left(x+1\right)-\log \left(x^2-1\right)

Final answer to the exercise

−log⁡(x)+3log⁡(x+1)−log⁡(x2−1)-\log \left(x\right)+3\log \left(x+1\right)-\log \left(x^2-1\right)

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Similar Questions Solved

derivdef(ln⁡(x))derivdef\left(\ln\left(x\right)\right)

Main Topic: Properties of Logarithms

They are properties that can help us simplify expressions with logarithms.

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logx−2·logx+3·log(x+1)−log(x2−1)
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