SPM 2018 Add Maths Paper 1, Question 17Indices, Surds & Logarithms

Solved on video in English and Bahasa Melayu · 4 marks · Form 4, Indices, Surds & Logarithms · 4:48 video

The question

(a) Given P = log_a Q, state the conditions of a. (b) Given log_3 y = 2 / log_(xy) 3, express y in terms of x.

[4 marks]

Step 1

Part (a): P = log_a Q is a logarithm with base a. For any logarithm log_a Q to be defined, the base a must be positive and cannot be equal to 1.

Why this step

A base of 1 gives 1 for every power, so it can't pick out Q. Don't forget a ≠ 1 alongside a > 0; it's often missed.

7 more steps, each with the reason for it, in the full solution

Final answer

(a) a > 0 and a ≠ 1; (b) y = 1/x²

Watch every step of this question solved on video (4:48), with the reason behind each step and a box that checks your own answer.

No card. Every past-year question on video, in English and BM.

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