SOLUTION: Umeko and Clemente are simplifying the problem below, who was wrong? Explain the error. Umeko Clemente log76+log73−log72 log76+log73−log72 =log718−log72 =log

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Umeko and Clemente are simplifying the problem below, who was wrong? Explain the error. Umeko Clemente log76+log73−log72 log76+log73−log72 =log718−log72 =log      Log On


   

Question 981478: Umeko and Clemente are simplifying the problem below, who was wrong? Explain the error.
Umeko Clemente
log76+log73−log72 log76+log73−log72
=log718−log72 =log79−log72
=log79 =log77or1
Name the properties that were used to derive the properties of logarithms.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Umeko followed the correct steps.
log%287%2C%286%29%29%2Blog%287%2C%283%29%29-log%287%2C%282%29%29
log%287%2C%286%2A3%29%29-log%287%2C%282%29%29
log%287%2C%2818%29%29-log%287%2C%282%29%29
log%287%2C%2818%2F2%29%29
log%287%2C%289%29%29
-----------------------------
Saying log%287%2C%286%29%29%2Blog%287%2C%283%29%29-log%287%2C%282%29%29=log%287%2C%289%29%29 is correct.
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Clemente made an error in thinking that log(x)+log(y) = log(x+y)
log%287%2C%286%29%29%2Blog%287%2C%283%29%29+%3C%3E+log%287%2C%286%2B3%29%29
So Clemente is incorrect.
Saying log%287%2C%286%29%29%2Blog%287%2C%283%29%29-log%287%2C%282%29%29=1 is incorrect.