SOLUTION: condense log25+log40 as a single expression whose coefficient is 1.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: condense log25+log40 as a single expression whose coefficient is 1.       Log On


   

Question 278298: condense log25+log40 as a single expression whose coefficient is 1.
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
log(25) + log(40)
One of the properties of logarithms, log%28a%2C+%28p%29%29+%2B+log%28a%2C+%28q%29%29+=+log%28a%2C+%28p%2Aq%29%29, can be used to combine these two logarithms into one:
log(25*40)
which simplifies to
log(1000)
which, since 10%5E3+=+1000, simplifies to
3