Question

Please read the question in picture nd help me ​

Answer 1

1) We know that e is an irrational number, so we usually can find it by computational methods.

`e = \lim_(n \to \infty) (1 + (1)/(n))^n`

and we know that e accurate to 10 decimal points is:

e = 2.7182818285

2) Now we want to write the properties of the exponential and logarithmic functions.

We will write first the exponential property, and then the correspondent one for the logarithmic function.

(e^a)*(e^b) = e^(a + b)

The equivalent Ln property is:

Ln(a) + Ln(b) = Ln(a*b)

(e^a)/(e^b) = e^(a - b)

The eqivalent Ln property is:

Ln(a) - Ln(b) = Ln(a/b)

(e^a)^b = e^(a*b)

The equivalent Ln property is:

Ln(a^b) = b*Ln(a)