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

Logarithms Problem set B Answers

Skills

    1. (a) \(x = \frac{1}{10000}\)
    2. (b) \(y = \frac{6001}{1000}\)
    3. (c) \(t = \frac{13}{4}\)
    1. (a) \(x = e^{-2} = 0.135\)
    2. (b) \(x = e^{-1.5} = 0.223\)
    3. (c) \(x = \frac{e^3-2}{5} = 3.62\)
    1. (a) \(x = −0.155\)
    2. (b) \(x = \frac{1005}{2}\)
    3. (c) \(x = 5.62\)
    1. (a) \(x = 2.48\)
    2. (b) \(x = e^2 = 7.39\)
    3. (c) \(x = 12.2\)

In context

    1. (a) \(L = 74.8\) decibels
    2. (b) \(I = 3.16 \times 10^{-6}\) W/m²
    1. (a) \(d = 7.89\) cm
    2. (b) \(t = e^{2.24} = 9.39\) years
    1. (a) \(E = 5.40\)
    2. (b) \(L = 39 800\) lux
    1. (a) \(D = 34.3\) cm
    2. (b) \(t = e^{2.5} = 12.2\) hours
    1. (a) \(h=3.98\times10^{-4}\)
    2. (b) pH = 3.60
    3. (c) 1000 times

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