Chapter 8 Exponential functions - Ugrad.math.ubc.ca
Chapter 8 Exponential functions - Ugrad.math.ubc.ca
Chapter 8 Exponential functions - Ugrad.math.ubc.ca
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Math 102 Problems <strong>Chapter</strong> 8<br />
8.3<br />
Compare the values of each pair of numbers (i.e. indi<strong>ca</strong>te which is larger):<br />
(a) 5 0.75 , 5 0.65<br />
(b) 0.4 −0.2 , 0.4 0.2<br />
(c) 1.001 2 , 1.001 3<br />
(d) 0.999 1.5 , 0.999 2.3<br />
8.4<br />
Rewrite each of the following equations in logarithmic form:<br />
(a) 3 4 = 81<br />
(b) 3 −2 = 1 9<br />
(c) 27 −1 3 =<br />
1<br />
3<br />
8.5<br />
Solve the following equations for x:<br />
(a) ln x = 2 ln a + 3 lnb<br />
(b) log a x = log a b − 2 3 log a c<br />
8.6 Reflections and transformations<br />
What is the relationship between the graph of y = 3 x and the graph of each of the following<br />
<strong>functions</strong>?<br />
(a) y = −3 x (b) y = 3 −x (c) y = 3 1−x<br />
(d) y = 3 |x| (e) y = 2 · 3 x (e) y = log 3 x<br />
8.7<br />
Solve the following equations for x:<br />
(a) e 3−2x = 5<br />
(b) ln(3x − 1) = 4<br />
(c) ln(ln(x)) = 2<br />
(d) e ax = Ce bx , where a ≠ b and C > 0.<br />
v.2005.1 - September 4, 2009 2
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