Logarithm question equation I'm stuck on an equation : ( log 8 </msub> &#

Willow Pratt

Willow Pratt

Answered question

2022-06-30

Logarithm question equation
I'm stuck on an equation :
( log 8 x ) 2 + 2 log 8 x + 1 = 0
I've played with it without any success. Any indications would be greatly appreciated...
Thank you!

Answer & Explanation

conveneau71

conveneau71

Beginner2022-07-01Added 17 answers

You've got u 2 + 2 u + 1 = 0, where u = log 8 x
Factoring, you get ( u + 1 ) 2 = 0, which entails that u = 1
If log 8 x = 1 then 8 1 = x, i.e. x = 1 8

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