Examples of using Log base in English and their translations into Arabic
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Colloquial
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Political
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Ecclesiastic
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Ecclesiastic
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Computer
Log base 6 of 40.
So this simplifies to 2 over log base 10 of 5.
So this is log base x of a to the c-th power.
Similarly if I were to ask you log base three of.
Log base-- we could do either e or ten.
So you would say t is equal to log base 4.2 of 100.
Log base 10 of 100 divided by log base 10 of 5.
So we could write x to this thing, log base x a.
If log base 2-- no, not log base 2.
Well, we could take the log base e of both sides.
Log base 10 of b divided by log base 10 of a.
So we are left with,this is equal to 2 times"x" minus log base 5 of"y".
Because log base x of a over log base x of a is equal to 1.
Now, let's raise both of these sides to the log base x of b power.
And log base e on your calculator is often written the natural log. .
If you just press log on your calculator, it's log base 10.
This is going to be equal to log base 10 of 16 over 2, 16 divided by 2, which is the same thing as 8.
So if I gave you a problem where I wanted to know what is the log base 7 of 3, right?
Log base a of b, let's say I said that to be equal to some number, let's call that's equal to c.
Use the change of base formula to find log base 5 of 100, to the nearest thousandth.
And most ofthem, when you press the log button on your calculator, it assumes log base 10.
So it is log base 10 of 5 is equal to, and they want us to round to the nearest thousandth, so 2.861.
Logarithm of any arbitrary base of some number if you only have a log base 10 function, which tends to be the case in your calculator.
So this is log base b of a minus log base b of c is equal to log base b of-- well I ran out.
And then we just figured out that log base e, so e to the what power is 10, is 2.-- what was the number?
Log base 3 of 27 times x-- I will write it that way-- is equal to log base 3 of 27 plus log base 3 of x.
Let me write it this way actually b times log base a of c this is equal to log base a of c to the b-th power.
So log base 6 of 40 is equal to log base 10 of 40 divided by log base 10 of 6, which is choice D.
So right-hand side simplifies to log base 10 of 8 the left-hand side is log base 10 of 3x.
If log base 10 of2 is approximately equal to 0.301, and log base 10 of 3 is approximately equal to 0.477, what is the approximate value of log of 72?