SOLUTION: Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. log7 x + log7 (x - 48) = 2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. log7 x + log7 (x - 48) = 2       Log On


   

Question 688966: Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.
log7 x + log7 (x - 48) = 2

I'm not really sure how to go about this..
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.
log7 x + log7 (x - 48) = 2

I'm not really sure how to go about this..

log+%287%2C+x%29+%2B+log+%287%2C+%28x+-+48%29%29+=+2

log+%287%2C+x%28x+-+48%29%29+=+2

log+%287%2C+%28x%5E2+-+48x%29%29+=+2

x%5E2+-+48x+=+7%5E2

x%5E2+-+48x+-+49+=+0

(x - 49)(x + 1) = 0

x - 49 = 0_________OR________x + 1 = 0

highlight_green%28x+=+49%29

OR

x = - 1 (ignore as this value will lead to a negative log value)

You can do the check!!

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