Question

Log (5x+2)-log 7=log x-2 find x

Answer 1

Step-by-step explanation:

log( 5x+2)-log 7 =log x-2

log (5x+2)/7=log x-2

(5x+2)/7=x-2

5x+2=7(x-2)

5x+2=7x-14

14+2=7x-5x

2x=16

x=16/2

x=8

Answer 2

Answer:

The value of x = 8

Step-by-step explanation:

Given equation is log(5x+2) - log7 = log(x - 2)

We have to find the value of 'x'

We know that log(m) - log(n) = log($\frac{m}{n}$)

Now the question is

log(5x+2) - log7 = log(x - 2)

$log(\frac{5x+2}{7} ) = log(x-2)$

∴ $\frac{5x+2}{7} = x-2$

Cross multiplying the above equation

5x +2 = 7(x - 2)

5x +2 = 7x - 14

7x - 5x = 2+14

2x = 16

x = 8

Therefore, x = 8.