Kay's Math: Analysis and approaches IB -SL - Logarithms and exponentials

Total marks: 20

$1\cdot\;Solve\;for\;x: \; log_{5} \sqrt{x^{2}+49}=2$ (4 marks)

$2\cdot\;If\;y=lnx\;-ln(x+2)\;+ln(4-x^{2})\; express\;x\;in\;terms\;of\;y$
(6 marks)

$3\cdot\;Based\;on\;an\;experiment\;in\;an\;yeast\;culture\;cell\;numbers\;were\;modelled\;by$
$N=100\: e^{1.03t}\;where\;t\;is\;measured\;in\;hours\;after\;the\;cells\;are\;introduced\;to\;the\;culture\;$

$a\cdot\;what\;is\;the\;initial\;number\;of\;cells?$

$b\cdot\;How\;many\;cells\;will\;be\;present\;after\;6\;hours?$

$c\cdot How\;long\;will\;it\;take\;for\;the\;population\;to\;reach\;one\;thousand\;cells?$ (4 marks)

$4\cdot\;Find\;the\;solution\;to\;the\;equation\;15^{2x}=3\times5^{x+1}\;in\;the\;form\;$
$\frac{log\: a}{log\: b} \;where\;a\;and\;b\; are\;positive\;integers.$ (6 marks)

Kay's Math

Pages

Wednesday, October 2, 2019

Analysis and approaches IB -SL - Logarithms and exponentials

No comments:

Post a Comment