Find x in log &#x2061;<!-- ⁡ --> x 2 </msup> = ( log &#x20

Frank Day 2022-07-02 Answered
Find x in log x 2 = ( log x ) 2
I couldn't find x.
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Answers (2)

Bruno Dixon
Answered 2022-07-03 Author has 14 answers
log x 2 = ( log x ) 2 2 log x = ( log x ) 2 log x ( log x 2 ) = 0 log x = 0 x = 1 log x = 2 x = 10 2
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Patatiniuh
Answered 2022-07-04 Author has 5 answers
Hint: Note that
log x 2 = 2 log x
for all x > 0. Now use the substitution u = log x to get
2 u = u 2 .
Solve for u , then solve for x .
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