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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.
prove that the composition of two simple harmonic of the same period and in the same straight line is also a simple harmonic motion of the same period.
The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to
calculates the value of the following limit. Solution Now, notice that if we plug in θ =0 which we will get division by zero & so the function doesn't present at this
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Factor following polynomials. x 2 + 2x -15 Solution x 2 +2x -15 Okay since the first term is x 2 we know that the factoring has to ta
is 49 a square number?
tanx dx
Explain Fermats Last Theorem? How to solve problems under Fermats Last Theorem?
compare: 643,251: 633,512: 633,893. The answer is 633,512.
/3x-5/-x-7=0
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