Assignment – Logarithmic Equation

Reading ASSIGNMENT ( Use the Discussion box at the bottom to submit your answer for discussion and appraisal) : Further Maths Project Book 1(New third edition).Chapter 2 pg. 8- 10                       

ASSIGNMENT ( USE THE DISCUSSION BOX AT THE BOTTOM TO SUBMIT YOUR ANSWER FOR DISCUSSION AND APPRAISAL)

• If log81/64 = x, find the value of x (a) 2 (b) 1 (c) -3 (d) -4.

2)            Solve 9^{(1 – x)} = (1/27) ^x+1 (a) -5 (b) -1 (c) 1 (d) ½

3)            Simplify log₇ 49 (a) 1/7   (b) 2  (c) 7  (d) log 1/7

4)            Solve the equation log₂16 = x  (a) 8  (b)  4 (c)  2    (d) 2

5)         Convert 5² = 25 into logarithm form (a) log₅25 = 2 (b) log ₂₅5 = 2 (c) log₂25 = 5 (d) None of the above

Theory

(1)          Find the value of x for which log₁₀ (4x² + 1) -2 log₁₀ x – log₁₀ 2 = 1 is valid.

(2)          Solve the logarithmic equation: Log₄ (x² + 6x + 11) = ½