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Exercise

2 log (x2−5x+8)=12\:log\:\left(x^2-5x+8\right)=1

Step-by-step Solution

Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation 2log(x^2+-5*x+8)=1. Divide both sides of the equation by 2. Take the variable outside of the logarithm. Simplifying the logarithm. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side.
Solve the logarithmic equation 2log(x^2+-5*x+8)=1

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Final answer to the exercise

x=52+10−74, x=52−10−74x=\frac{5}{2}+\sqrt{\sqrt{10}-\frac{7}{4}},\:x=\frac{5}{2}-\sqrt{\sqrt{10}-\frac{7}{4}}

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Similar Questions Solved

log⁡(x)=3\log\left(x\right)=3

2log(x)−log(x+6)=02log\left(x\right)-log\left(x+6\right)=0

log⁡3(x+4)+log⁡3(x−4)=2\log_3\left(x+4\right)+\log_3\left(x-4\right)=2

log⁡(4X2)=128\log\left(4X^2\right)=128

log⁡x(64)=3\log_x\left(64\right)=3

log⁡2(x−2)+log⁡2(x+1)=2\log_2\left(x-2\right)+\log_2\left(x+1\right)=2

2⋅log(x)−1⋅log(x+6)=02\cdot log\left(x\right)-1\cdot log\left(x+6\right)=0

Main Topic: Logarithmic Equations

Are those equations in which the unknown variable appears within a logarithm.

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2 log (x2−5x+8)=1
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