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We know that 24 = 16 and also that 2 is referred to as the base, 4 as the index or power or the exponent. The same if expressed in terms of logarithms would be log216 = 4 and is read as the logarithm of 16 to base 2 is 4. Hence we define the logarithm of a number to a given base as the index or the power to which the base should be raised in order to yield the given number. We look at the following example.
What would be the value of log12144?
If we assume x to be the value then
log12144 = x
This is the same as 144 = 12x. That is, 12 should be raised or in other words multiplied by itself so that the resultant value is 144. We find that 12 when multiplied twice would give 144. That is, the value of x = 2. This gives the value of log12144 as 2.
is 1 and 1/2+2 and 1/7 3 and 9/4
Everything stored on a computer can be represented as a string of bits. However, different types of data (for example, characters and numbers) may be represented by the same strin
It is totally possible that a or b could be zero and thus in 16 i the real part is zero. While the real part is zero we frequently will call the complex numbers a purely imaginar
three years ago,Rica was thrice as old as dandy.Three years hence,she will be twice as old.Find their present.
(a) The generating function G(z) for a sequence g n is given by G(z) = 1 - 2z/(1 + 3z)3 Give an explicit formula for g n . (b) For the sequence gn in the previous part co
25/5(2+3)
Verify Liouville''s formula for y "-y" - y'' + y = 0 in (0, 1) ?
Indeterminate form : The 0/0 we initially got is called an indeterminate form. It means that we don't actually know what it will be till we do some more work. In the denominator
write 107 in expanded form.
Pai is rational or irrational
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