What is the answer to ln(x)-ln(2x-5)=ln(3) ?

The answer to ln(x)-ln(2x-5)=ln(3) is x=3

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ln(x)-ln(2x-5)=ln(3)

ln (x) - ln (2 x - 5) = ln (3)

x = 3

Solution steps

ln (x) - ln (2 x - 5) = ln (3)

Add

ln (2 x - 5)

to both sides

ln (x) - ln (2 x - 5) + ln (2 x - 5) = ln (3) + ln (2 x - 5)

Simplify

ln (x) = ln (3) + ln (2 x - 5)

Apply log rules

x = 3 (2 x - 5)

Solve

x = 3 (2 x - 5) : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

lo g_{2} ((r + 6)^{2}) = 4

ln (y) + ln (y + 3) = ln (20 - 5 y)

y, 2 ln (x) = ln (y)

lo g_{x} (3) = 3

lo g_{2} (m x) = c

What is the answer to ln(x)-ln(2x-5)=ln(3) ?
The answer to ln(x)-ln(2x-5)=ln(3) is x=3
Solve for x: ln(x)-ln(2x-5)=ln(3)
The solution is x=3