SOLUTION: Solve 2log4- log3 +2 logx-4=0 A) 12.3308 B) 43.3013 C) 86.6025 D) 1875

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve 2log4- log3 +2 logx-4=0 A) 12.3308 B) 43.3013 C) 86.6025 D) 1875      Log On


   

Question 308970: Solve 2log4- log3 +2 logx-4=0
A) 12.3308
B) 43.3013
C) 86.6025
D) 1875
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve 2log4- log3 +2 logx-4 = 0
---
log(16) - log(3) + log(x-4)^2 = 0
---
log[(16/3)(x-4)^2] = 0
----
(16/3)(x-4)^2 = 10^0
---
(16/3)(x-4)^2 = 1
---
(x-4)^2 = 3/16
---
x-4 = +-sqrt(3)/4
---
x = 4 +- (1/4)sqrt(3)
================================
Cheers,
Stan H.
================================

A) 12.3308
B) 43.3013
C) 86.6025
D) 1875