SOLUTION: Please explain how you arrived at your answer. (All Logs have the standard base of 10).: {{{ Log(7x+1) = Log(x-2) + 1 }}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please explain how you arrived at your answer. (All Logs have the standard base of 10).: {{{ Log(7x+1) = Log(x-2) + 1 }}}      Log On


   

Question 861159: Please explain how you arrived at your answer. (All Logs have the standard base of 10).:
+Log%287x%2B1%29+=+Log%28x-2%29+%2B+1+
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Log(7x+1) = Log(x-2) + 1
Log(7x+1) - Log(x-2) = 1
subtracting logs with same base is = dividing
Log (7x+1 / x-2) = 1
from definition of log
7x+1 / x-2 = 10^1
7x+1 = 10x - 20
3x = 21
x = 7
check answer
log(50) = log(5) + 1
1.69897 = 0.69897 + 1
1.69897 = 1.69897
answer checks :-)