Question 1064355
Express the following as a single logarithm (base is 10 unless otherwise indicated):

log2-log3+log5=
log2-(log3+log5)=
log2-log(3*5)=
log2-log15=
log(2/5)=0.8751

Now, I did this problem this way and answers don't match. Please explain why? Thank you very much. 

(log2-log3)+log5=
log(2/3)+log5=
log((2/3)*5)=
log(10/3)=0.5228

Now, which one is the solution to the question? I am confused!!!!!!!!!! Thank you very much. 
<pre>The 2nd simplification is correct.
log 2 - log 3 + log 5 ======> {{{log ((2/3) * 5)}}} ======> {{{log ((10/3))}}}
Your 1st simplification was INCORRECT and that's why you got a different answer.
log2 - log 3 + log 5 
log2-(log3+log5) <========= This is INCORRECT
Putting parentheses around the 2nd and 3rd logs in the expression would give you: log 2 - (log 3 - log 5)
I hope you realize that when the OPEN PARENTHESIS is placed around log 3, the "+" after log 3 changes to "-".
Continuing, we get: {{{matrix(1,7, log ((2)) - log ((3/5)), "=====>", log ((2/(3/5))), "=====>", log ((2 * (5/3))), "=====>", log ((10/3)))}}}, which is same as above.