csat-suneung 2012 Q20

csat-suneung · South-Korea · csat__math-humanities 4 marks Laws of Logarithms Characteristic and Mantissa of Common Logarithms

For a positive number $x$, let the characteristic and mantissa of $\log x$ be $f ( x )$ and $g ( x )$, respectively. The number of natural numbers $n$ satisfying the two inequalities
$$f ( n ) \leq f ( 54 ) , \quad g ( n ) \leq g ( 54 )$$
is? [4 points]
(1) 42
(2) 44
(3) 46
(4) 48
(5) 50

For a positive number $x$, let the characteristic and mantissa of $\log x$ be $f ( x )$ and $g ( x )$, respectively. The number of natural numbers $n$ satisfying the two inequalities

$$f ( n ) \leq f ( 54 ) , \quad g ( n ) \leq g ( 54 )$$

is? [4 points]\\
(1) 42\\
(2) 44\\
(3) 46\\
(4) 48\\
(5) 50

Paper Questions

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