SOLUTION: #1. Find domain of logarithm and solution to equation: log(base 4) (x + 9) − log(base 4) (x − 9) = 3 #2. Rewrite the equation so it contains no logarithms: log(b

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: #1. Find domain of logarithm and solution to equation: log(base 4) (x + 9) − log(base 4) (x − 9) = 3 #2. Rewrite the equation so it contains no logarithms: log(b      Log On


   

Question 914797: #1. Find domain of logarithm and solution to equation: log(base 4) (x + 9) − log(base 4) (x − 9) = 3

#2. Rewrite the equation so it contains no logarithms:
log(base 5) (x + 5) + log(base 5) (x − 5) = 2 .
What would the domain be?
What would the smaller and larger values of the equation be?
Thank you
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
Number 2:

log%285%2C%28x%2B5%29%28x-5%29%29=2

Base is 5, log is 2,

5%5E2=%28x%2B5%29%28x-5%29, domain can be all real numbers.
This is a quadratic equation and solving for x may give a greater and a lesser solution; just solve for x.

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Solving,
x%5E2-25=25
x%5E2=50
x=0%2B-sqrt%2850%29=0%2B-sqrt%282%2A5%2A5%29
highlight%28x=0%2B-+5sqrt%282%29%29