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1) What are the colours for the graphs of y = x-3, y = x0.5 and y = x4 for x > 0? a) y = x-3 (red), y = x0.5 (blue) and y = x4 (green) b) y = x-3 (red), y = x0.5 (green) and y = x4 (blue) c) y = x-3 (blue), y = x0.5 (red) and y = x4 (green) d) y = x-3 (blue), y = x0.5 (green) and y = x4 (blue) 2) What are the colours for the graphs of y = 2x, y = 0.5x or y = 2-x ? a) y = 2x (red), y = 0.5x or y = 2-x (green) b) y = 2x (green), y = 0.5x or y = 2-x (red) c) y = 2x (red), y = 0.5x or y = 2-x (blue) d) y = 2x (blue), y = 0.5x or y = 2-x (red) 3) What are the colours for the graphs of y = log2x, y = log0.5x ? a) y = log2x (blue), y = log0.5x (green) b) y = log2x (green), y = log0.5x (blue) c) y = log2x (yellow), y = log0.5x (red) d) y = log2x (red), y = log0.5x (yellow) 4) What is the value of loga 1. a) -1 b) 0 c) 1 d) a 5) What is the value of loga a. a) -1 b) 0 c) 1 d) a 6) What is the equivalence of lg x? a) log10 x b) loge x c) logn x d) logx x 7) What is the equivalence of ln x? a) log10 x b) loge x c) logn x d) logx x 8) What is the equivalence of 2log2 x? a) log4 x b) log2 2x c) xlog2 2 d) log2 x2 9) Evaluate log4 64. a) 3 b) 4 c) 16 d) 64 10) What is the equivalence of log2 2x + log2 x? a) log2 3x b) log2 x c) log2 2x2 d) log2 2x ╳ log2 x 11) What is the equivalence of log2 2x3? a) log2 2 + log2 x3 b) 3log2 2x c) log2 2 ╳ log2 x3 d) log2 2 ╳ log2 3x 12) What is the equivalence of log2 5x - log2 x? a) log2 4x b) log2 5x2 c) (log2 5x) / (log2 x) d) log2 5 13) What is the equivalence of log2 (2/x3)? a) log2 2 / log2 x3 b) 3log2 (2/x) c) log2 2 - log2 x3 d) log2 2 / log2 3x 14) What is the equivalence of log2 x? a) (loga x) / (loga 2) b) (loga 2) / (loga x) c) loga x - loga 2 d) loga 2 - loga x 15) Evaluate log2 3 to 3 significant figures. a) 0.301 b) 0.631 c) 0.667 d) 0.477 16) Solve logx 8 = 3. a) 2 b) 3/8 c) 4 d) 24 17) Solve log3 x = 4. a) 3 b) 4/3 c) 12 d) 81 18) Solve log3 x = log3 7. a) 3 b) 7 c) 3/7 d) 7/3 19) What is the next step in solving log3 x + log3 4x = 2? a) log3 x ╳ log3 4x = 2 b) log3 (1/4) = 2 c) log3 x + log3 4x = log3 2 d) log3 4x2 = 2 20) Which of the following is correct in solving 2log3 x + log3 4x = 2? a) log3 x2 ╳ log3 4x = 2 b) 3log3 4x2 = 2 c) log3 4x3 = 2 d) 2log3 4x2 = 2 21) What is the next step in solving log3 x + log9 4x = 2? a) log3 x + log3 4x - log3 9 = 2 b) log3 x + log3 9 - log3 4x = 2 c) log3 x + (log3 4x / log3 9) = 2 d) log3 x + (log3 9 / log3 4x) = 2 22) Solve 2x = 7 correct to 3 significant figures. a) 0.301 b) 0.356 c) 0.845 d) 2.81 23) What is the next step in solving 32x + 3x = 8? a) Let y = 3x, y2 + y = 8 b) Let y = 3x, 2y + y = 8 c) log3(32x + 3x) = log38 d) log332x + log33x = log38

Power, Exponential, Logarithmic Functions (Public)

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