IB1 Math SL
Quiz: FA functions continued, logs, exponents
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Name_______________________________
circle: Baier, Francis, AMB
Non-GDC section – Show all work
Solve the following equations.
(a) logx 49 = 2
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3
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(b)
log25 x = 
(c)
log2 x + log2(x – 7) = 3
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(a)
Write the expression 3ln 2 – ln 4 in the form ln k, where k
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(b)
Hence, or otherwise, solve 3ln2 – ln2 = -lnx
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4
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(a)
Given that a = log x, b = log y and c = log z , find an expression in terms of a, b, and c for the
following.
æ x3 4 y ö
log ç 5 ÷
è z ø
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Let f (x) = x3 − 4 and g (x) = 2x.
(a) Find (g ◦ f ) (−2).
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(b)
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(b) Find f −1 (x).
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CALCULATOR needed section
Solve the following equations, giving your answer both as EXACT and to 3 significant figures.
a. 2 x = 125
b. 34 x+1 = 10
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Let f(x) = Aekx + 3. Part of the graph of f is shown below.
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The y-intercept is at (0, 13).
(a)
Show that A =10.
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(b)
Given that f(15) = 3.49 (correct to 3 significant figures), find the value of k.
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