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.
What is the length of the diagonal of a square with a side length of 7 cm?
View QuestionThe probability of getting an even number when rolling a die is:
View QuestionA number is increased by 20% and then decreased by 10%. What is the net change?
View QuestionIf 2x - 3 = 7, what is the value of x?
View QuestionThe sides of a triangle are 7, 24, and 25. Is this a right triangle?
View QuestionIf the radius of a circle is doubled, what happens to its area?
View QuestionIf x² - 9x + 18 = 0, what are the roots of the equation?
View QuestionIf a = 2 and b = 3, what is the value of (a^2 + b^2)?
View QuestionIf a+b = 10 and ab = 21, what is the value of (a-b)^2?
View QuestionThe LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?
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