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If log 27 = 1.431, then the value of log 9 is:
  • a)
    0.934
  • b)
    0.945
  • c)
    0.954
  • d)
    0.958
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If log 27 = 1.431, then the value of log 9 is:a)0.934b)0.945c)0.954d)0...
Log 27 = 1.431

 log (33 ) = 1.431

 3 log 3 = 1.431

 log 3 = 0.477

 log 9 = log(32 ) = 2 log 3 = (2 x 0.477) = 0.954.
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If log 27 = 1.431, then the value of log 9 is:a)0.934b)0.945c)0.954d)0...
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If log 27 = 1.431, then the value of log 9 is:a)0.934b)0.945c)0.954d)0...


Calculation:

To find the value of log 9, we need to express 9 as a power of 27 since log 27 is given as 1.431.

Step 1:
Express 9 as a power of 27:
9 = 27^(2/3)

Step 2:
Apply the properties of logarithms to simplify log 9:
log 9 = log (27^(2/3))
log 9 = (2/3) * log 27
log 9 = (2/3) * 1.431
log 9 = 0.954

Therefore, the value of log 9 is 0.954, which matches with option 'c'.
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If log 27 = 1.431, then the value of log 9 is:a)0.934b)0.945c)0.954d)0.958Correct answer is option 'C'. Can you explain this answer?
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