What is the true solution to the equation below? ln e^lnx^2=2 ln 8? A.x=2. B.x=4. C.x=8. D.x=64

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19-06-2018
Mathematics

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What is the true solution to the equation below? ln e^lnx^2=2 ln 8? A.x=2. B.x=4. C.x=8. D.x=64

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gmany gmany · Answer 1 · 2018-06-19T17:48:14+02:00

gmany gmany

19-06-2018

[tex]a^{\log_ax}=x\\\\log_ab^n=n\cdot\log_ab[/tex]

[tex]x \ \textgreater \ 0\\\\e^{\ln x^2}=2\ln8\\\\x^2=2\ln2^3\\\\x^2=3\cdot2\ln2\\\\x^2=6\ln2\to x=\sqrt{6\ln2}[/tex]

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xanxan2 xanxan2 · Answer 2 · 2018-11-01T08:27:40+01:00

xanxan2 xanxan2

01-11-2018

The answer is X=4, B

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