MHF4UQuiz 2Exponential and Logarithmic Functions Name
2
MHF4U Quiz 2 Exponential and Logarithmic Functions Name:________ July 2,2014 K/U T A C Total / 5 / 4 /5 /2 /16 1. Select the equivalent of the following ( You need to show steps ) (i) log 10 (100x), T _____/2 a) 2x b)2 x c) 2+ log 10 x d)10 log(x) (ii) log 2 (100+28) + 4 log 2 64 T_____/2 a) log 2 192 b) log 2 (128 *( 4*64) c) 31 d) log(128) 2. Solve for x i) 5 x = 250 K/U_____/1 ii) logx27 = 3 K/U______/1 iii) 4 x +4 x+1 =160 K/U_____/2 iv) logx0.04 = - 2 K/U______/1 3) . The Half life of a radio-active element is 6500 years. Approximately what percentage of the original element will remain after 3250 years? A______/2 4)A $5000 investment is made in a savings account that pays 10% per annum compounded quarterly. How long will it take for the investment to grow to $7500? A______/3 5) Explain why log53 + log 5 ( 1 3 ) = 0 C_______/2
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Transcript of MHF4UQuiz 2Exponential and Logarithmic Functions Name
MHF4U Quiz 2 Exponential and Logarithmic Functions Name:________ July 2,2014
K/U T A C Total /5 /4 /5 /2 /16
1. Select the equivalent of the following ( You need to show steps )
(i) log 10 (100x), T _____/2
a) 2x b)2 x c) 2+ log 10 x d)10 log(x)
(ii) log 2 (100+28) + 4 log 2 64 T_____/2
a) log 2 192 b) log 2 (128 *( 4*64) c) 31 d) log(128)
2. Solve for x
i) 5 x = 250 K/U_____/1
ii) logx27 = 3 K/U______/1
iii) 4 x+4x+1=160 K/U_____/2
iv) logx0.04 = - 2 K/U______/1
3) . The Half life of a radio-active element is 6500 years. Approximately what percentage of the original element will remain after 3250 years? A______/2
4)A $5000 investment is made in a savings account that pays 10% per annum compounded quarterly. How long will it take for the investment to grow to $7500? A______/3
5) Explain why log53 + log5(13) = 0 C_______/2
