what did I do wrong? 1+2log_x(5)log_25(2x-5)=1/log_25(x)

oded244

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Re: I'd like to know what i did wrong

Hello, oded244!


Your last step . . .

. . \(\displaystyle \underbrace{\log_{25}(x) + \log_{25}(2x-5)} \;=\;1\)

. . . \(\displaystyle \log_{25}[x(2x-5)] \;=\;1 \quad\Rightarrow\quad x(2x-5) \;=\;25^1 \quad\hdots \text{etc.}\)

 
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