CMA Foundation · Fundamentals of Business Mathematics and Statistics · Indices and Logarithms
What is the value of log base 2 of 64 plus log base 3 of 81?
The value is 10. Since 2 raised to 6 equals 64, the first logarithm is 6, and since 3 raised to 4 equals 81, the second logarithm is 4. Adding the two results gives 6 + 4 = 10.
- A8
- B10Correct
- C12
- D14
Explanation
2^6 = 64, so log2 64 = 6. 3^4 = 81, so log3 81 = 4. The sum is 6 + 4 = 10. The option 12 results from wrongly multiplying the two values (6 x 4 = 24) and halving, and 8 comes from adding the bases' exponents incorrectly.
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