calculus
posted by Sherry on .
Please help me?
ln(x+1)ln(x2)=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.

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. 
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. 
3lnx+2lny4lnz