Q81.The number of solutions of the equation log(x+1)(2x2 + 7x + 5) + log(2x+5)(x 1)2
What This Question Tests
This question combines logarithmic equations with quadratic equations, requiring careful consideration of the domain of logarithmic functions (base and argument must be positive and base not equal to 1). It involves simplifying log terms and solving the resulting algebraic equation.
Concepts Tested
Formulas Used
log_b a = c <=> b^c = a
log_b a + log_b c = log_b (ac)
📚 NCERT Sections This Tests
1.1 — Define The Term Solution. How Many Types Of Solutions Are Formed? Write Briefly
Chemistry Class 11 · Chapter 1
1.1 Define the term solution. How many types of solutions are formed? Write briefly about each type with an example.
1.27 — If The Solubility Product Of Cus Is 6 × 10–16, Calculate The Maximum Molarity Of
Chemistry Class 11 · Chapter 1
1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Logarithmic equations
- Year
- 2021
- Shift
- 20 Jul Shift 2
- Q Number
- Q81
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 5: Quadratic Equations
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