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.Com
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)   (Show Source): You can put this solution on YOUR website!












...in base







Answer by Edwin McCravy(20060)   (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
RELATED QUESTIONS

How can I write the following logarithmic equation as a single logarithm simplified?... (answered by Positive_EV)
determine which of the following logarithms is condensed... (answered by MathLover1)
How do I solve the following logarithmic equation for x? The base of the following log (answered by stanbon)
How do I solve the following logarithm for x? The base of the following logs is 2.... (answered by stanbon,MathLover1)
I was told "Write in condensed form (as a single logarithm)"... (answered by stanbon)
Which of the following is the logarithmic form of the equation: 4^(-3) = 1/64 ? (answered by lwsshak3)
What's the condensed form of... (answered by lwsshak3)
Hi, Can you help with the following questions. I am trying to simplify the expressions... (answered by Alan3354)
I don't know how to use the table of common logs, can you help me compute the following... (answered by Edwin McCravy)