Question

If log base 3 (729) = x then the
value of xis
9
81
O 243​

Answer 1

6

3 power x=729

x=6

So answer is 6

Answer 2

$Given \: log_{3} \: (729) = x$

/* We know that */

$\pink {we \: define\: (log_{a} x = n , if \: a^{n} = x , }\\\pink{if \: where \: 'a ' \: and \: 'x' \: are \: positive}\\\pink{ numbers \: and \: a \neq 1 )}$

$\implies 729 = 3^{x}$

$\implies 3^{6} = 3^{x}$

$\implies 6 = x$

$\boxed{ \blue{ \because If \: a^{m} = a^{n} \: then \: m = n }}$

Therefore .,

$\red{ Value \: of \: x } \green { = 6 }$

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