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IB Mathematics: Applications and Interpretation SL · 12.6: Exponents & Logarithms · 12.6.2

Logarithms Problem set A Answers

Skills

    1. (a) \(x = \frac{1}{1000}\)
    2. (b) \(y = \frac{401}{100}\)
    3. (c) \(t = \frac{9}{2}\)
    1. (a) \(x = e^3 = 20.1\)
    2. (b) \(x = e^{-2.5} = 0.0821\)
    3. (c) \(x = \frac{e^2+3}{4} = 2.60\)
    1. (a) \(x = −1.40\)
    2. (b) \(x = 33\)
    3. (c) \(x = 6.31\)
    1. (a) \(x = 3.40\)
    2. (b) \(x = e^3 = 20.1\)
    3. (c) \(x = 33.1\)

In context

    1. (a) \(\text{pH} = 4.52\)
    2. (b) \(h = 6.31 \times 10^{-5}\)
    1. (a) \(H = 5.45\) m
    2. (b) \(t = e^2 = 7.39\) years
    1. (a) \(M = 5.30\)
    2. (b) \(A = 31 600\) micrometres
    1. (a) \(C = 53.0\%\)
    2. (b) \(t = e^2 = 7.39\) hours
    1. (a) \(E=6.31\times10^{13}\) J
    2. (b) M = 7.00
    3. (c) 1000 times

jmaths.xyz · AI SL · 12.6.2 Logarithms and solving exponential and log equations