(a) 2(2*}-5(2*)+2= 0 (b) 32*+1 – 26 3)-9 = 0 (c) 4*- -6{2"}-16 = 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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Q10a, b & c

10) Solve the following equations, where
necessary leave your results in logarithmic forms:
(a) 2(2*}-5(2*)+2= 0
(b) 3** – 26{3*)-9 = 0
(c) 4* –6{2*}-16=0
11) Given that log, 6= m and log, 5 =n, show
that log, 10 = mn+m-1
%3D
12) Solve for x in the following equations
i) In(x-3) = 0
%3D
(ii) In(x -15) = 0
iii) log, (x+6)- log, (x-2) = 2
13) Solve for x and y in the following pairs of
simultaneous equations
i) ylog, 8= x and 2* +8" 8192
%3D
ii) log, x+2 log, y= 4 and x+12y 52
Transcribed Image Text:10) Solve the following equations, where necessary leave your results in logarithmic forms: (a) 2(2*}-5(2*)+2= 0 (b) 3** – 26{3*)-9 = 0 (c) 4* –6{2*}-16=0 11) Given that log, 6= m and log, 5 =n, show that log, 10 = mn+m-1 %3D 12) Solve for x in the following equations i) In(x-3) = 0 %3D (ii) In(x -15) = 0 iii) log, (x+6)- log, (x-2) = 2 13) Solve for x and y in the following pairs of simultaneous equations i) ylog, 8= x and 2* +8" 8192 %3D ii) log, x+2 log, y= 4 and x+12y 52
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