3 years ago

Is this right? i’m not sure

1 answer:

4 0

My only issue is that it says numbers between. It does not say including. Therefore, I think you want to use > and < instead of the ones with equals signs attached.

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3 years ago

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BlackZzzverrR [31]

Answer:

x=81 or 1/3

Step-by-step explanation:

$x^\log_3(x)} =81x^3\\\log_3(x^{\log_3(x)})=\log_3(81x^3)\\\(\log_3x)(\log_3x)=\log_381+\log_3x^3\\(\log_3x)^2=3\log_3x^+4\\\\Let u=\log_3x\\\\u^2-3u-4=0\\(u-4)(u+1)=0\\u=4 \\4=\log_3x\\x=3^4=81\\\\u=-1\\-1=\log_3x\\x=3^{-1}=1/3$

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3 years ago

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klasskru [66]

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