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Examples of logarithms:
log2 8 = 3 since 8 = 23
log10 0.01 = -2 since 0.01 = 10-2
log5 5 = 1 since 5 = 51
logb 1 = 0 since 1 = b
From the above illustration, it is evident that a logarithm is an exponent. 34 is called the exponential form of the number 81. In logarithmic form, 34 would be expressed as log 81 = 4, or the logarithm of 81 to the base 3 is 4. Note the symbol for taking the logarithm of the number 81 to a particular base 3, is log3 81, where the base is indicated by a small number written to the right and slightly below the symbol log.
Suppose the economy is now ‘open’ and thus has an external demand (e.g. from the government, exports, etc.) of the dollar amounts for each respective industry. In the latest budget
divide 50 into two parts such that if 6 is subtracted from one part and 12 is added to the second part,we get the same number?
Consider the function f(x) = x + 1/x 2 + 2x - 3. (a) Find f(2) and f(-2). (b) Find the domain of f(x). (c) Does the range include 1? Show your working. (d) Find and si
If secA= x+1/4x, prove that secA+tanA=2x or 1/2x. Ans: Sec? = x + 1/4x ⇒ Sec 2 ? =( x + 1/4x) 2 (Sec 2 ?= 1 + Tan 2 ?) Tan 2 ? = ( x +
1) find the maxima and minima of f(x,y,z) = 2x + y -3z subject to the constraint 2x^2+y^2+2z^2=1 2)compute the work done by the force field F(x,y,z) = x^2I + y j +y k in moving
Index Shift - Sequences and Series The main idea behind index shifts is to start a series at a dissimilar value for whatever the reason (and yes, there are legitimate reasons
-1
What fraction could you add to 4/7 to get a sum greater than 1
2cos^2x-sinx=1......Find x
round to the nearest ten to estimate , 422+296
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