What is the answer to ln(x+2)-ln(x-1)=ln(4) ?

The answer to ln(x+2)-ln(x-1)=ln(4) is x=2

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ln(x+2)-ln(x-1)=ln(4)

ln (x + 2) - ln (x - 1) = ln (4)

x = 2

Solution steps

ln (x + 2) - ln (x - 1) = ln (4)

Add

ln (x - 1)

to both sides

ln (x + 2) - ln (x - 1) + ln (x - 1) = ln (4) + ln (x - 1)

Simplify

ln (x + 2) = ln (4) + ln (x - 1)

Apply log rules

x + 2 = 4 (x - 1)

Solve

x + 2 = 4 (x - 1) : x = 2

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

lo g_{8} (16) + lo g_{8} (y - 2) = 2

lo g_{a} (x) = b

4 lo g_{3} (x) - 11 = 5

0 = ln (c)

lo g_{5} (2 x + 1) - lo g_{5} (x - 2) = 1

What is the answer to ln(x+2)-ln(x-1)=ln(4) ?
The answer to ln(x+2)-ln(x-1)=ln(4) is x=2
Solve for x: ln(x+2)-ln(x-1)=ln(4)
The solution is x=2