Q4. The product of all solutions of the equation e5(loge x)2+3 = x8, x > 0, is : (1) e8/5 (2) e6/5 (3) e2 (4) e
What This Question Tests
The question tests the application of logarithmic properties to transform an exponential equation into a quadratic equation and find the product of its solutions.
Concepts Tested
Formulas Used
log(a^b) = b log(a)
e^(ln x) = x
Product of roots = c/a
๐ NCERT Sections This Tests
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๐ Question Details
- Chapter
- Logarithms
- Topic
- Logarithmic equations
- Year
- 2025
- Shift
- 22 Jan Shift 1
- Q Number
- Q4
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 3: Trigonometric Functions (introduces log conceptually)