Q81.The number of solutions of the equation log4(x −1) = log2(x −3) is ______.
What This Question Tests
This problem involves solving a logarithmic equation by changing the base and converting it into a quadratic equation, ensuring to check the solutions against the domain of the logarithmic functions.
Concepts Tested
Formulas Used
log_b(a) = log_c(a) / log_c(b)
log_b(a) = log_b(c) => a=c
📚 NCERT Sections This Tests
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.
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.
📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Logarithmic Equations
- Year
- 2021
- Shift
- 26 Feb Shift 1
- Q Number
- Q81
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 3: Trigonometric Functions (introduces logs), Class 11 Mathematics Ch 5: Quadratic Equations
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