What are common mistakes students make with base e?

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Answer 1 · 2017-01-25T05:03:19

see explanation

It is called the natural logarithm for the transcendental base e.

Any value of e used in computation , like e = 2.718, is an

approximation only.

Like the value of #pi#, the value cannot be expressed, in

mathematical exactitude

The notation ln x is exclusive for this logarithm, in contrast to log x

notation for base-10 logarithm.

In differentiation,

(ln x)'= 1/x. So, it is wrong to write (log x)'=1/x.

The conversion formula is

#log x = log_e x/log_10 e= ln x/loge#.

So,

#(log x)'=1/loge(ln x)'= 1/log e(1/x)#