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chew
:
4-[ieqn]\log_{x}{x+5}[/ieqn]=[ieqn]\log_{x}{x-1}[/ieqn]+[ieqn]\log_{\sqrt{x}}{x}[/ieqn]
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September 25, 2015 at 3:41am
Little Sky
:
[deqn]4-\log_{x}{(x+5)}=\log_{x}{(x-1)}+\frac{\log_{x}{x}}{\log_{x}{\sqrt{x}}}[/deqn][deqn]4=\log_{x}{(x-1)}+\log_{x}{(x+5)}+\frac{1}{(1/2)\log_{x}{x}}[/deqn][deqn]4=\log_{x}{[(x-1)(x+5)]}+2[/deqn][deqn]2=\log_{x}{[(x-1)(x+5)]}[/deqn][deqn]x^2=(x-1)(x+5)[/deqn][deqn]x^2=x^2+4x-5[/deqn][deqn]5=4x[/deqn][deqn]x=1\frac{1}{4}[/deqn]
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September 25, 2015 at 5:03am
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