SOLUTION: Approximate the value of log(base2)10 to 3 decimal places. *Convert to a convenient base and evaluate on the calculator. I have no idea what to do lol

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Question 532962: Approximate the value of log(base2)10 to 3 decimal places.
*Convert to a convenient base and evaluate on the calculator.
I have no idea what to do lol
Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website!
Approximate the value of log(base2)10 to 3 decimal places.
Convert to a convenient base and evaluate on the calculator.
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Remember the definition of a logarithm?: base raised to logarithm of the number is equal to the number
In this case:
base=2
number=10
logarithm of the number=x (what you must find)
so now you have this equation:
2^x=10
If you have a calculator it is a simple matter to find x by using the log function which is base (10)
taking the log of both sides:
xlog2=log10=1 (log of the base is always=1)
x=1/log2
x≈3.322
What this says is that if you raise 2 to 3.322 you will ≈ 10.