MCQ practice · SSC Higher Mathematics Board questions · Chapter 9: Exponential and Logarithmic Function
If log_x 4 + log_x 16 = 6, what is the value of log_x 8?
Think it through first, then pick an option.
- a 1
- b 2
- c 3
- d 6
Answer and explanation
Correct answer: c 3
x⁶ = 64 gives x = 2, so log_x 8 = log₂ 8 = 3.
Why the other options are wrong
- a 1: log_x 4 + log_x 16 = log_x 64 = 6 gives x = 2; then log₂ 8 = 3, not 1.
- b 2: 2 is the value of x, not of log_x 8; log₂ 8 = 3.
- d 6: 6 is the value of log_x 64, not of log_x 8.
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