SOLUTION: 1. Solve the following equations a) log(base 5)x+2 + log(base 5) x-2 - log(base 5)4 = log(base 5)3 b) log(base 5)x^2-4 - log(base 5)4 = log(base 5)3 c) log(base 5)x+2 = 1- log(b

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 1. Solve the following equations a) log(base 5)x+2 + log(base 5) x-2 - log(base 5)4 = log(base 5)3 b) log(base 5)x^2-4 - log(base 5)4 = log(base 5)3 c) log(base 5)x+2 = 1- log(b      Log On


   

Question 744484: 1. Solve the following equations
a) log(base 5)x+2 + log(base 5) x-2 - log(base 5)4 = log(base 5)3
b) log(base 5)x^2-4 - log(base 5)4 = log(base 5)3
c) log(base 5)x+2 = 1- log(base 5) x-2
d) log(base 5) (x^2-4) =1
Can you please help me out? Thanks so much in advance:)
Can you please show all the steps it would really help me understand:)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
log(base 5)x+2 + log(base 5) x-2 - log(base 5)4 = log(base 5)3

log(base 5)((x+2)(x-2)) - log(base 5)4 = log(base 5)3

log(base 5)(((x+2)(x-2))/4) = log(base 5)3

common base
%28%28x%2B2%29%28x-2%29%29%2F4=3

x%5E2-4=12

x%5E2=12%2B4
x%5E2=16
x=+/-4
therefore x=4