Find the number of digits in 312- 28-

3 ^ 12 × 2 ^ 8 Applying log gives log( 3 ^ 12 × 2 ^ 8 )=12log 3+8log 2 =8.1336956 Hence, the number of digits is 9 . ...

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Standard IX

Mathematics

Laws of Exponents for Real Numbers

Find the numb...

Question

Find the number of digits in $3^{12} \times 2^{8}$ .

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Solution

$3^{12} \times 2^{8}$
Applying $log$ gives
$log (3^{12} \times 2^{8}) = 12 log 3 + 8 log 2 = 8.1336956$
Hence, the number of digits is $9$ .

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Find the number of digits in 312×28.

312×28Applying log giveslog(312×28)=12log3+8log2=8.1336956Hence, the number of digits is 9.

Find the number of digits in $3^{12} \times 2^{8}$ .

$3^{12} \times 2^{8}$
Applying $log$ gives
$log (3^{12} \times 2^{8}) = 12 log 3 + 8 log 2 = 8.1336956$
Hence, the number of digits is $9$ .