Simplify the expression log(12)...base is 10...how do you find without using a calculator?
Do they tell us any decimal values for some other logs? Sometimes problems also give that.
Are you sure they want it "simplified"? or maybe written as a combination other logs, e.g, log(2) and log(3)?
If now, we can do some things to simplify it. The 12 is not any power of 10, so it's not going to give us a nice whole number answer or a fraction. But we can do is use some properties of logarithms to break it down.
if not*
log (square root of 10) =.5 That has nothing to do with the problem but at least it gives you some idea as to which numbers convert to logs easily.
maybe i wrote it wrong
One of them tells us that a multiplication becomes an addition of logarithms. Log xy= log x + log y Have you see that before?
Yes, probably. Please check!
Thanks Debbie - it's been corrected
using the properties of logarithms with numerical values. Find the logarithm
the examples they give are easy...then they throw a boomerang and me
and = at
oh ok
Here are properties that you might use for this problem: \[\Large \log(MN)=\log M+\log N\] \[\Large \log M^a=a\log M\]
It says numerically values, so I'm thinking somewhere they tell us something like log3=... or log 2 = ...
\[\log_{10} 12\] without using a calculator
Can you tell us one of the examples?
:o
Here's all I think we can really do. 12 breaks down into 3 times 4
log5(25) i know this is 2 which is not that hard...nothing complicated
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