If log x (8x-3)-logx4=2, the value of x is or .

asked Mar 5, 2021 78.3k views

1 vote

by Jwkoo

8.2k points

Please log in or register to add a comment.

2 votes

X false -10 cg(centigrams)+8x-3

Jbmcle answered Mar 6, 2021

7.8k points

3 votes

Answer:

x = (1)/(2) or
x = (3)/(2)

Explanation:

$log_x (8x - 3) - log_x {4} = 2$

log_x (8x - 3)/(4) = 2

log_x (2x - (3)/(4)) = 2

x^2 = 2x - (3)/(4)}

4x^2 - 8x + 3 = 0

(2x - 1)(2x - 3) = 0

2x - 1 = 0 or
2x - 3 = 0

2x = 1 or
2x = 3

x = (1)/(2) or
x = (3)/(2)

T Porter answered Mar 11, 2021