Evaluate log_4(256).
Option B
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 4^4 = 256. 3. Therefore log base 4 of 256 = 4.
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No verified paper has been uploaded for GBPSC-PMS Mathematics Set-7 yet. The MCQs below are drawn from the Mathematics subject category.
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 4^4 = 256. 3. Therefore log base 4 of 256 = 4.
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 5^3 = 125. 3. Therefore log base 5 of 125 = 3.
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 3^6 = 729. 3. Therefore log base 3 of 729 = 6.
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 3^3 = 27. 3. Therefore log base 3 of 27 = 3.
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 2^5 = 32. 3. Therefore log base 2 of 32 = 5.
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*2 + 0.5*40 = 80.00°. 3. Minute hand angle = 6*40 = 240°. 4. Difference = 160.0° (smaller angle).
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*3 + 0.5*57 = 118.50°. 3. Minute hand angle = 6*57 = 342°. 4. Difference = 136.5° (smaller angle).
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*10 + 0.5*36 = 318.00°. 3. Minute hand angle = 6*36 = 216°. 4. Difference = 102.0° (smaller angle).
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*6 + 0.5*18 = 189.00°. 3. Minute hand angle = 6*18 = 108°. 4. Difference = 81.0° (smaller angle).
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*4 + 0.5*4 = 122.00°. 3. Minute hand angle = 6*4 = 24°. 4. Difference = 98.0° (smaller angle).