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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 previous section we looked at the two functions f ( x) = 3x - 2 and g ( x )= x/3 + 2/3 and saw that ( f o g ) ( x ) =(g o f )( x ) =
w^2 + 30w + 81= (-9x^3 + 3x^2 - 15x)/(-3x) (14y = 8y^2 + y^3 + 12)/(6 + y) ac + xc + aw^2 + xw^2 10a^2- 27ab + 5b^2 For the last problem I have to incorporate the following words
REENA HAS PENS AND PENCILS WHICH TOGETHER ARE 40 IN NUMBER.IF SHE HAS 5 MORE PENCILS AND 5 LESS PENS,THEN THE NUMBER PENCILS WOULD BECOME 4 TIMES THE NUMBER OF PENS.FIND THE ORIGIN
I want to know the solution of this problem: log2.log3(x+2)=2
10x^2+19x+6
Perpendicular to y=3x-2 and through the point (6,4)
x-5/6
Using transformation sketch the graph of each of the following. g ( x ) = - x 2 Solution (a) Depending on the placement of
(2a 3b 0 ) – 3 C 2
3x+5y=10
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