Log 11(2x-1) = 1-log11(x+4). Find the value of x showing detailed reasoning?

1 Answer
Hriman
Feb 24, 2018

x=-5 or 3/2 but -5 is not a real solution

Explanation:

Log₁₁(2x-1)+Log₁₁(x+4)=1
Log₁₁(2x^2+7x-4)=1
11^1=2x^2+7x-4
2x^2+7x-15=0
2x^2+10x-3x-15=0
2x(x+5)-3(x+5)=0
x=-5 or 3/2

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