What is the answer to ln(x-2)+ln(2x-3)=2ln(x) ?

The answer to ln(x-2)+ln(2x-3)=2ln(x) is x=6

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ln(x-2)+ln(2x-3)=2ln(x)

ln (x - 2) + ln (2 x - 3) = 2 ln (x)

x = 6

Solution steps

ln (x - 2) + ln (2 x - 3) = 2 ln (x)

Apply log rules

(x - 2) (2 x - 3) = x^{2}

Solve

(x - 2) (2 x - 3) = x^{2} : x = 6, x = 1

x = 6, x = 1

Verify Solutions:

x = 6

True

, x = 1

False

The solution is

x = 6

0.912 = ln (x^{3})

ln (x + 2) = 3

lo g_{10} (x) = 3.1

2 lo g_{4} (x + 1) = lo g_{4} (11 - x)

lo g_{2} (x + 7) = 3 - lo g_{2} (x + 5)

What is the answer to ln(x-2)+ln(2x-3)=2ln(x) ?
The answer to ln(x-2)+ln(2x-3)=2ln(x) is x=6
Solve for x: ln(x-2)+ln(2x-3)=2ln(x)
The solution is x=6