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Science & Mathematics by Anonymous 2018-05-18 13:05:39
Social Science
Math Question:?
3 answers
(a) Sketch the graph of y = 7^x, , showing the coordinates of any points at which the graph crosses the axes. (b) Solve the equation 7^2x − 4(7^x) + 3 = 0 giving your answers to 2 decimal places where appropriate.
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Anonymous
a) See Graph https://www.desmos.com/calculator/y4ri3w... b) (7^x)^2-4(7^x)+3 = 0 (7^x-3)(7^x-1) = 0 7^x = 1 or 3 xln(7) = 0 or ln(3) x = 0 or ln(3)/ln(7)
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Anonymous
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Anonymous
(a) See attached (b) Let u = 7^x, u^2 - 4u + 3 = 0 (u - 1)(u - 3) = 0 u = 1, 3 7^x = 1, x = 0 7^x = 3 xln(7) = ln(3) x = ln(3)/ln(7)