Posted by **Sherry** on Thursday, February 17, 2011 at 12:50pm.

Please help me?

ln(x+1)-ln(x-2)=ln(5)

1. Solve equation by setting up algebraically.

2. Use appropriate properties of Logarithm to reduce the number of logarithmic terms to only one.

3. Solve logarithmic equation.

- calculus -
**Henry**, Saturday, February 19, 2011 at 2:20pm
ln(x + 1) - ln(x + 2) = ln5,

2. ln((x + 1) / (x + 2))) = ln5.

3. ln((x + 1) / (x + 2)) = 1.6094,

(x + 1) / (x + 2) = e^1.6094,

(x + 1) / (x + 2) = 5,

Cross multiply:

5X + 10 = X + 1,

5X - X = 1 - 10,

4X = - 9,

X = -2 1/4 = -9/4.

- calculus -
**Henry**, Saturday, February 19, 2011 at 2:53pm
CORRECTION:I copied the problem wrong.

ln(x + 1) - ln(x - 2) = ln5.

2. ln((x + 1) / (x - 2)) = ln5.

3. ln((x + 1) / (x - 2)) = 1.6094,

(x + 1) / (x - 2) = e^1.6094,

(x + 1) / (x - 2) = 5,

Cross multiply:

5X - 10 = X + 1,

5X - X = 1 + 10,

4X = 11,

X = 2 3/4 = 11/4.

- calculus -
**Anonymous**, Sunday, June 5, 2011 at 9:16pm
3lnx+2lny-4lnz

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