SOLUTION: How can I simplify the condensed version of the following logarithmic equation? The base of the following logs is 3. log30 + log6 - (2*log10 - log5)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How can I simplify the condensed version of the following logarithmic equation? The base of the following logs is 3. log30 + log6 - (2*log10 - log5)      Log On


   



Question 698681: How can I simplify the condensed version of the following logarithmic equation?
The base of the following logs is 3.
log30 + log6 - (2*log10 - log5)

Found 2 solutions by MathLover1, Edwin McCravy:
Answer by MathLover1(20850) About Me  (Show Source):
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
When you get here

log3(9)

don't go to base 10 and use a calculator
with decimals as she did.

Instead, write 9 as 3²

log3(3²)

which is

2·log3(3) 

Then log3(3) = 1

So the answer is

2*1 or 2

Edwin