Solve for X In(2xy. In)2x+12メーS

Answered: Solve for X Iの) リ-X 2メ-S) こ X ta

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Step 1

Given, $\ln (\frac{2 x + 1}{x + 2}) = \ln (\frac{x - 1}{2 x - 5})$

Taking exponential on both sides, we have

$e^{(\ln (\frac{2 x + 1}{x + 2}))} = e^{(^{\ln (\frac{x - 1}{2 x - 5})})}$

$\frac{2 x + 1}{x + 2} = \frac{x - 1}{2 x - 5}$

$(2 x + 1) (2 x - 5) = (x - 1) (x + 2)$

$4 x^{2} - 8 x - 5 = x^{2} + x - 2$

$3 x^{2} - 9 x - 3 = 0$

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