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

Solve the equation log2(3x-2)-log2(x-5)=4Solutionlog2 ( 3x-2) - log2 (x-5) = 4 applying log properties log2 { (3x-2) / (x-5) } = 4 { (3x-2) / (x-5) } = 2^4 (3x

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