uses of logarithms

Logarithmic Differentiation - When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation.When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. Let y = f(x) g(x) Ta..

When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. Let y = f(x) g(x) Taking log on both sides, we have logy = g(x) logf(x). Differentiating with respect to x, we get, ..

Let z= x + iy be a complex number. Let Z = r i q . This formula is useful for finding the logarithm of negative numbers als..

Introduction Exponential and Logarithmic Series - In this chapter, we shall study two series known as the Exponential series and Logarithmic series. In our discussion, we shall make use of mathematical tools like formula for sum of an infinite G.P., combinatorial coeff..

Use the laws of logarithms to rewrite log 10 30 x . => 30 + log 10 x or log 10 30 + log 10 x or 30 log 10 x or (log 10 30) + x..

Use the laws of logarithms to rewrite log 2 7 x 28 . => 28log 2 7 + 28log 2 x or log 2 7 + 28log 2 x or 7log 2 28 + log 2 x or (log 2 7 + log 2 x ) + 28..

Use the laws of logarithms to rewrite log a 25 x . => 25 + log a x or log a 25 + log a x or log a (25 + x ) or 25log a x..

Use the laws of logarithms to rewrite log b (11 x iya(y) 46 ) . => 11 + log b x + 46log b y or 46log b 11 + 46log b x + 46log b y or 46log b 11 + log b x + log b y or log b 11 + log b x + 46l..

Use the laws of logarithms to rewrite the following. log a ( x 6 y 15 ) => 6log a x - 15log a y or 15log a x + 6log a y or 6log a x + 15log a y or 21(log a x + log a y )..

Use the laws of logarithms to rewrite log a x y 4 5 . => 5 4 log a ( xy ) or 4 5 log a ( xy ) or 4 5 log a x + 4 5 log a y or 1 5 log a x + 4..