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Question 1

Simplify the following expressions:

(a)

log3 (81) - log3 (27)

(b)

(c)

(e)

Solve for x:

(d)

(f)

In(e) - In(e²)

(h)

eIn(5)

3x-1= = 27

e2x 5e* + 6 = 0

5* = 124

Solve for x in the equation: 23x - 22x+1 + 2* = 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)/n

Fig: 1

Fig: 2