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.
If log(100) = 2 and log(10) = 1, what is log(1000)?
View QuestionA train 150 m long passes a pole in 15 seconds. What is its speed?
View QuestionIf sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?
View QuestionIf x:y = 4:5 and y:z = 2:3, what is x:z?
View QuestionIf 2x = 16, what is the value of x?
View QuestionWhat is the sum of the first 50 positive integers?
View QuestionA cone has a base radius of 7 cm and height of 24 cm. What is its volume?
View QuestionWhat is the LCM of 15 and 20?
View QuestionIf a:b = 3:4 and b:c = 5:6, what is a:c?
View QuestionHow many diagonals does a pentagon have?
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