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

Question 861159: Please explain how you arrived at your answer. (All Logs have the standard base of 10).:

Answer by rothauserc(4718) (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 :-)

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