Subject: Mathematics
Book: Maths Mastery
Logarithmic scales measure phenomena spanning huge ranges. pH = –log₁₀[H⁺] gauges acidity, each integer step is a tenfold difference in H⁺ concentration. The Richter scale for earthquakes is log-based, so an increase of 1 indicates 10× greater amplitude. Decibels measure sound intensity, with each 10 dB jump implying a 10× power increase. Understanding logs clarifies why linear changes in these scales represent vast multiplicative shifts. Proficiency ensures correct interpretation of scientific and everyday data, from hearing protection advice to reading environment metrics accurately.
The base of a triangle is 10 cm and its height is 6 cm. What is its area?
View QuestionIf the product of two numbers is 120 and their sum is 26, what are the numbers?
View QuestionWhat is the slope of a line passing through the points (2, 3) and (4, 7)?
View QuestionIf the average of five consecutive odd numbers is 25, what is the largest number?
View QuestionWhat is the sum of the first 20 odd numbers?
View QuestionIf a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?
View QuestionA sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?
View QuestionIf x² - 9x + 18 = 0, what are the roots of the equation?
View QuestionIf a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?
View QuestionWhat is the area of a sector of a circle with radius 14 cm and central angle 90°?
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