Question

name the function which is reciprocal to logx to base e

Answer 1

Answer:

A logarithm is a function that does all this work for you. We define one type of logarithm (called “log base 2” and denoted log2) to be the solution to the problems I just asked. Log base 2 is defined so that

log2c=k

is the solution to the problem

2k=c

for any given number c.

We can use the product rule for exponentiation to derive a corresponding product rule for logarithms. Using the base b=e, the product rule for exponentials is

eaeb=ea+b

for any numbers a and b.

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