SOLUTION: Solve a)log(base 2)(x+1) + log(base 2)(x-1) = 3 b)log(base 2)(x+2) = 2 - log(base 2)(x-1) Can you please help me out? Thanks so much in advance:)

Question 867254: Solve
a)log(base 2)(x+1) + log(base 2)(x-1) = 3
b)log(base 2)(x+2) = 2 - log(base 2)(x-1)
Can you please help me out? Thanks so much in advance:)

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve
a)
addition of logs, is multiply

FOIL

Write exponent equiv of logs
x^2 -1 =
x^2 - 1 = 8
x^2 - 1 - 8 = 0
x^2 - 9 = 0
Factors to
(x-3)(x+3) = 0
x = +3, is the only solution (no negative allowed in a log)
:
b)

The exponent equiv
x^2 + x - 2 =
x^2 + x - 2 = 4
x^2 + x - 2 - 4 = 0
x^2 + x - 6 = 0
Factors to
(x+3)(x-2) = 0
x = 2, the positive solution all we want here
RELATED QUESTIONS
1. Solve the following equations a) log(base 5)x+2 + log(base 5) x-2 - log(base 5)4 =... (answered by mananth)

Solve and check a)2logm + 3logm = 10 b)log(base 3)x^2 - log(base 3)2x = 2 c)log(base... (answered by solver91311)

Solve a) log(base 5)(x^2 - 4) - log(base 5)(4) = log(base 5)(3) b) log(base 5)(x+2) = 1 (answered by josgarithmetic)

1. Solve the following equations a) log(base 2) x+1 + log(base 2) x-1 = 3 b) log(base... (answered by lwsshak3)

1. Solve the following equations a) log(base 2)x+1 - log(base 2) 2 = log(base 2)5... (answered by lynnlo)

Solve a) log(base 8)(x+1) - logx = 2 Can you please help me out? Thanks so much in... (answered by jim_thompson5910)

Solve and check a) 1og(base 7)(x+4) + log(base 7)(x-2) = 1 b) log(base 2)(2m+4) -... (answered by MathLover1)

Solve a) log(base 2)(x-5) + log(base 2) (x-2) = 2 Can you please help me out? Thanks so (answered by nerdybill)

Solve a) log(base 3)x^2 - log(base 3)2x = 2 Can you please help me out? Thanks so much (answered by Alan3354)