Question: 1. Simplify. Express your answers with positive exponents. (8 marks) a) (3x3y3) (2xy -3)2 16a263 - 2 b ) (4a-165 c) V81x8y4 (3ab+ 273 X

1. Simplify. Express your answers with positive exponents. (8 marks) a) (3x3y3) (2xy -3)2 16a263\\ - 2 b ) (4a-165 c) V81x8y4 (3ab+ 273 X 12asb-5 15a+b 2. Solve for x. (8 marks) a) 9x+2 = b) 82x+2 = 16*-2 *+3 d) 4(2x) = 2563. Evaluate. (4 marks) a) log27 3 b) log 0.001 c) log20 1 d) logx Vx 4. Solve for x to the nearest tenth. (4 marks) a) 4* b ) log5 7 Communication (15 marks) 5. Express in exponential form. (3 marks) a) logs 625 = 4 b) 10g16 4 = = c) loga c = b 6. Express in logarithmic form. (3 marks) a ) (4) = 16 b) 5-3 = - 125 c) mp = j 7. Solve for x using a graph: 2* = 16. Explain your steps. (4 marks) Page 2 of 58. Given y = log; x: 2 a) Solve for the x-intercepts. (2 marks) b) Explain why the solution to log; 4 must be less than zero

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