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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.
HOW MUCH WILL A NEW CAR COST? THE AVERAGE COST OF A NEW CAR IN 1990 WAS $14371. IN 2003 THE AVERAGE COST HAD RISEN TO $22360. WHAT IS THE AMOUNT OF THE MONTHLY PAYMENT? THE AMOUNT
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Proves of power sets,union ,interstection ,relwtion
Evaluate following. (a) 625 3/4 Solution (a) 625 3/4 Again, let's employ both forms to calculate this one. 625 3/4 =( 625 1/4 ) 3 =(5) 3 = 12
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The temperature at midnight was 4°F. Through 2 A.M. it had dropped 9°F. What was the temperature at 2 A.M.? If the temperature is only 4° and drops 9°, it goes below zero. It d
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