Solve the equation log23x2log2x54Solutionlog2 3x2 log2 x5
Solve the equation
log2(3x-2)-log2(x-5)=4
Solution
log2 ( 3x-2) - log2 (x-5) = 4
applying log properties
log2 { (3x-2) / (x-5) } = 4
{ (3x-2) / (x-5) } = 2^4
(3x -2) / (x -5) = 16
multiplying both sides by x-5
3x-2 = 16 (x-5)
3x-2 = 16x - 80
bringing like terms together
3x - 16x = -80 + 2
-13x = -78
x = 6
