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Standard VII

Mathematics

Integers

Number of int...

Question

Number of integers whose characteristic of logarithm to the base 10 is 3 , is

8999

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9000

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90000

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99000

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Solution

The correct option is C 9000
Let the number having characteristics as $3$ be $x$
$3 \leq {log}_{10} (x) < 4$
$1000 \leq x < 10000$
Integer between $1000$ and $10000$
$= 10000 - 1000$
$= 9000$

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Number of integers whose characteristic of logarithm to the base 10 is 3 , is

The correct option is C 9000Let the number having characteristics as 3 be x3≤log10(x)<41000≤x<10000Integer between 1000 and 10000=10000−1000=9000

The correct option is C 9000
Let the number having characteristics as $3$ be $x$
$3 \leq {log}_{10} (x) < 4$
$1000 \leq x < 10000$
Integer between $1000$ and $10000$
$= 10000 - 1000$
$= 9000$