Mathematics: Ln (x-2) +ln (2x-3)=2ln x ln(x-2)(2x-3)=ln x^2 ln 2x^2-7x+6=ln x^2 is as far as i got.

Ln (x-2) +ln (2x-3)=2ln x ln(x-2)(2x-3)=ln x^2 ln - id2232223222452864, kichensides

Ответ:

sarahlearn3

03.01.2022

$D:x-2\ \textgreater \ 0 \wedge 2x-3\ \textgreater \ 0 \wedge x\ \textgreater \ 0\\
D:x\ \textgreater \ 2 \wedge x\ \textgreater \ \dfrac{3}{2}\wedge x\ \textgreater \ 0\\
D:x\ \textgreater \ 2\\\\
\ln (x-2) +\ln (2x-3)=2\ln x \\
\ln (x-2)(2x-3)=\ln x^2\\
(x-2)(2x-3)=x^2\\
2x^2-3x-4x+6=x^2\\
x^2-7x+6=0\\
x^2-x-6x+6=0\\
x(x-1)-6(x-1)=0\\
(x-6)(x-1)=0\\
x=6 \vee x=1\\
1\not \in D\\
\boxed{x=6}$

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Ответ:

wcraig1998

23.09.2021

Mathematics

The answer would be dot plot

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Ln (x-2) +ln (2x-3)=2ln x
ln(x-2)(2x-3)=ln x^2
ln 2x^2-7x+6=ln x^2
is as far as i got.

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