solve-2logx-log-5x-4-1-

Question Number 172078 by Mikenice last updated on 23/Jun/22

s o l v e

\frac{2 l o g x}{l o g (5 x - 4)} = 1

Answered by Rasheed.Sindhi last updated on 23/Jun/22

\frac{2 l o g x}{l o g (5 x - 4)} = 1

2 l o g x = l o g (5 x - 4)

{l o g x}^{2} = l o g (5 x - 4)

x^{2} = 5 x - 4

x^{2} - 5 x + 4 = 0

(x - 1) (x - 4) = 0

x = 1, 4

Commented by kaivan.ahmadi last updated on 23/Jun/22

x = 1 i s n o t a n s w e r s i n c e

l o g (5 x - 4) ∣_{x = 1} = 0

Commented by Rasheed.Sindhi last updated on 23/Jun/22

R i g h t s i r!