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The last topic that we have to discuss in this section is the change of base formula.
Most of the calculators these days are able of evaluating common logarithms & natural logarithms. Though, that is regarding it, so what do we do if we have to evaluate another logarithm which can't be done simply
In order to do this we have the change of base formula. Following is the change of base formula.
log a x = logb x / logb a
Where we can select b to be anything we desire it to be. To use this to help us evaluate logarithms it is usually the common or natural logarithm. Following is the change of base formula by using both the common logarithm & the natural logarithm.
loga x = log x / log a loga x = ln x / ln a
In this section we will discussed about non-linear systems of equations. A non-linear system of equations is a system wherein at least one of the variables contains an exponent ot
y=(3x+3)
x^2+2x
2x+y/x+3y=-1/7and 7x+36y=47/3 hence find p if xy=p=x/y
is it free
a carpenter had a 20 ft piece of lumber which he cut into 3 pieces. one piece was 7 1/3 ft long and other was 6 1/2 ft long. how long was the remaining piece?
Any vector space V satisÖes the ten axioms, among which the last one is: "for any vector * u 2 V; 1 * u = * u; where 1 is the multiplicative identity of real numbers R:" Discuss th
exammples
Example : determine the zeroes of following polynomials. P ( x)= 5x 5 - 20x 4 +5x3 + 50x2 - 20x - 40 = 5 (x + 1) 2 ( x - 2) 3 Solution In this the factoring has been
Working together Jack and Bob can clean a place in 30 minutes. On his own, Jack can clean this place in 50 minutes. How long does it take Bob to clean the same place on his own?
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