Value of x when 5+logx=log(x^6)

Cohen Ritter

Cohen Ritter

Answered question

2022-11-01

Value of x when 5 + log x = log ( x 6 )
Find the value of x when
5 + log x = log ( x 6 )
I've tried many times to solve this, however I can't seem to find a correct (consistent) answer. My solutions range from
x = e , x = 5 , x = 6

Answer & Explanation

relatatt9

relatatt9

Beginner2022-11-02Added 12 answers

5 + log x = log x 6 5 + log x = 6 log x 5 = 6 log x log x = 5 log x 1 = log x
Your answer from here depends on what base you have for your log function, and if we assume that it is to the base e, then x = e.
ndevunidt

ndevunidt

Beginner2022-11-03Added 5 answers

5 ln e + ln x = ln x 6 ln e 5 + ln x = ln x 6 ln ( x e 5 ) = ln x 6 x e 5 = x 6 e 5 = x 5     x = e

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