SOLUTION: Complete the following steps to solve the logarithmic equation: log(base 5) (x + 5) + log(base 5) (x − 5) = 2 Rewrite as a single logarithm Rewrite so that containi

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Complete the following steps to solve the logarithmic equation: log(base 5) (x + 5) + log(base 5) (x − 5) = 2 Rewrite as a single logarithm Rewrite so that containi      Log On


   

Question 914744: Complete the following steps to solve the logarithmic equation:
log(base 5) (x + 5) + log(base 5) (x − 5) = 2
Rewrite as a single logarithm
Rewrite so that containing no logarithms
the solutions to the equation are?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

log%285%2C+%28%28x+%2B+5%29%29+%29%2B+log%28+5%2C+%28%28x-+5%29%29%29+=+2+

log%285%2C+%28%28x+%2B+5%29%28x+-5%29%29%29+=+2+

log%285%2C+%28+x%5E2+-+25%29%29+=+2+...............a single logarithm

log%28+%28x%5E2+-25%29%29%2Flog%285%29+=+2+

log%28+%28+x%5E2+-+25%29%29=+2+log%285%29+

log%28+%28x%5E2+-+25%29%29=++log%28%285%5E2%29%29+

log%28++%28x%5E2+-+25%29%29=++log%2825%29+ .....if log same, than

x%5E2+-+25=++25+ ....solve for x

x%5E2+=++25+%2B25

x%5E2+=+2%2A25

x+=+sqrt%282%2A25%29

solution

x+=+5sqrt%282%29