Earthquakes can be analyzed with the formula: M_2 - M_1 = A_2 A_1 where is the…

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Earthquakes can be analyzed with the formula: M2−M1=log⁡A2A1M_2 - M_1 = \log \frac{A_2}{A_1} where MM is the magnitude of the earthquake (unitless), and AA is the seismograph amplitude of the earthquake being measured (m). The magnitude of an earthquake with triple the seismograph amplitude of a magnitude 5.0 earthquake is? (A) 5.5 (B) 8.2 (C) 9.0 (D) 15.0

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