SOLUTION: Solve the following equations a) log(base 5) x+2 = 1- log(base 5) x-2 b) log(base 5)x^2-4 = 1 Can you please help me out with this question? Thanks so much in advance:) Can

Question 744756: Solve the following equations
a) log(base 5) x+2 = 1- log(base 5) x-2
b) log(base 5)x^2-4 = 1

Can you please help me out with this question? Thanks so much in advance:)
Can you show all the steps because it will help me understand more thanks
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
a) log(base 5) x+2 = 1- log(base 5) x-2
log(base 5) x+2 +log(base 5) x-2=1
log(base 5) ((x+2)(x-2)) =log(base5)5
x^2-4=5
x^2=9
x= +/- 3
ignore negative
x=3

b) log(base 5)x^2-4 = 1
log(base 5)x^2-4 = log (base5)5
x^2-4=5
x^2=9
x= +/-3

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