SOLUTION: Urgent! Please help with this problem. Thank you. Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic express

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Urgent! Please help with this problem. Thank you. Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic express      Log On


   

Question 864901: Urgent! Please help with this problem. Thank you.
Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expression. Give the exact answer.
2*logBase5 (x+11) = logBase5 (25)+2
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
2*logBase5 (x+11) = logBase5 (25)+2
2%2Alog%285%2C%28x%2B11%29%29=log%285%2C%2825%29%29%2B2
2%2Alog%285%2C%28x%2B11%29%29-log%285%2C25%29=2
log%285%2C%28x%2B11%29%5E2%29-log%285%2C5%5E2%29=2
log%285%2C%28x%2B11%29%5E2%29-2=2
log%285%2C%28x%2B11%29%5E2%29=4
backtracking a bit,
2%2Alog%285%2C%28x%2B11%29%29=4%7D%7D%0D%0A%7B%7B%7Blog%285%2Cx%2B11%29=2
5%5E2=x%2B11
x=25-11
highlight%28x=14%29

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Urgent! Please help with this problem. Thank you.
Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expression. Give the exact answer.
2*logBase5 (x+11) = logBase5 (25)+2


2%2Alog+%285%2C+%28x+%2B+11%29%29+=+log%285%2C+%2825%29%29+%2B+2

2%2Alog+%285%2C+%28x+%2B+11%29%29+=+2+%2B+2

2%2Alog+%285%2C+%28x+%2B+11%29%29+=+4

log+%285%2C+%28x+%2B+11%29%29+=+4%2F2

log+%285%2C+%28x+%2B+11%29%29+=+2

x+%2B+11+=+5%5E2

x = 25 - 11, or highlight_green%2814%29

You can do the check!! 



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