Subject: Mathematics
Book: Maths Mastery
Log inequalities like log(x) > 2 or log₂(x–1) ≤ 3 require understanding domain (x>0 for log base 10, x–1>0 for log₂) and exponential transformations. For log(x)>2, rewrite as x>10²=100. Solve carefully, checking intervals against log domain constraints. More complex expressions may involve combining log properties or adding constants. Log inequalities arise in pH ranges, decibel thresholds, or exponential growth constraints. Systematic approach ensures correct intervals, avoiding extraneous solutions from domain missteps.
What is the sum of the first 20 odd numbers?
View QuestionA train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?
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?
View QuestionWhat is the square root of 144?
View QuestionIf a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?
View QuestionIf a+b = 10 and ab = 21, what is the value of a^3 + b^3?
View QuestionA sum of money doubles itself in 5 years at simple interest. What is the rate of interest?
View QuestionIf the length of a rectangle is doubled and the width is halved, what is the change in area?
View QuestionA man spends 75% of his income and saves Rs. 600. What is his total income?
View QuestionWhat is the sum of all angles in a hexagon?
View Question