Question 1

Simplify the following expressions:

(a)

log3 (81) - log3 (27)

(b)

(c)

(e)

Solve for x:

(d)

(f)

In(e5) - In(e²)

(h)

eIn(5)

3x-1= 27

e2x 5e* + 6 = 0

5* = 124

Solve for x in the equation: 23x22x+1 + 2x = 0

Solve for x in the equation: log, (x) + log(x-1)= 1

(2 marks)

(2 marks)

(2 marks)

(2 marks)

(2 marks)

(2 marks)

(2 marks)

(2 marks)/nDifferentiate the following functions with respect to x:

y = ln(2x + 3)

(i)

(i)

y = e³x-4

Question 2

(2 marks)

(2 marks)