CMA Foundation · Fundamentals of Business Mathematics and Statistics · Indices and Logarithms
What is the value of log base 2 of 32 plus log base 3 of 81?
The value is 9. Since 32 equals 2 to the power 5, its base-2 logarithm is 5, and since 81 equals 3 to the power 4, its base-3 logarithm is 4. Adding the two results gives 9.
- A8
- B9Correct
- C7
- D10
Explanation
2^5 = 32, so log2 32 = 5. 3^4 = 81, so log3 81 = 4. The sum is 5 + 4 = 9. The option 20 would come from multiplying, and 8 from miscounting a power.
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