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A Level Math Paper 1 Equations Involving Indices Logarithms And Others Pdf

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PDF 604.65 KB 9 pages Jul 23, 2026

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Paper 1 Subject Mathematics
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digitalteachers.co.ug Equations involving indices, logarithms and others Equations involving indices This involves expressing the values raised to the powers into simplest form and thereafter making appropriate substitutions. Example 1 Solve the following equations (a) (b) (c) ( ) ( ) Solution (a) Let p = 3p2 -4p + 1 = 0 (3p – 1)(p – 1) = 0 p = or p = 1 (b) ( ) ( ) ( 1)(q – 1) = 0 Hence x = 0 or x = -1 (c) ( ) ( ) ( ) ( ) Let p = 3p2 + 2p -1 = 0 (3p – 1)(p + 1) = 0 p = or p = -1 or x = -1 (has no root) Example 2 (a) Solve the simultaneous equations Given Solution ……………………… (i) …………………(ii) Introducing log to both sides of equation (i) xlog 3 = 3y + 1log 2 8x – 15y = 5 ………………………(iii) From eqn. (ii) ( ) ( ) ( ) ( ) 10x – 36y = 28 5x – 18y = 14 …………………..(iv) 5eqn. (iii) – 8eqn (iv) digitalteachers.co.ug 69y = -87 y = substituting for y in equation (iii) 8x = 5+ 15( ) x = and y = (b) Find the value of x to 2 decimal places if Solution Introducing log (3x + 1)log2 = (x +2)log3 x(3Log2 – log3) = 2log3 – log2 – ( – ) (c) Evaluate ( ) Solution ( ) ( ) ( ) ( ) ( ) Let q = 3q2 – 26q – 9 = 0 (q – 9)(3q + 1) = 0 q = 9 0r q = ( ) Hence x = 2 Logarithmic equations It convenient to convert logarithms to the same base before the calculations Example 3 Solve the equations (a) Expressing terms …
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A Level Math Paper 1 Equations Involving Indices Logarithms And Others Pdf, is an educational document on StudyUganda.com covering Paper 1, Subject Mathematics. This resource includes: "digitalteachers.co.ug Equations involving indices, logarithms and others Equations involving indices This involves expressing the values raised to the powers into simplest form and thereafter making ……" (Format: PDF) — 604.65 KB, 9 pages. Added July 23, 2026.

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