Question

Log base 3 x + log base 9 x + log base 81 x = 7/4

Answer 1

Answer:

Step-by-step explanation:

$log_{3}$ x + $log_{9}$ x + $log_{81}$ x

=  $log_{3}$ x + $log_{3²}$ x + $log_{3^4}$ x

=  $log_{3}$ x + 1/2 $log_{3}$ x + 1/4 $log_{3}$ x

=  $log_{3}$ x + $log_{3}$ x^1/2 + $log_{3}$ x^1/4

=  $log_{3}$( x X x^1/2 X x^1/4 )

=  $log_{3}$ (x^(1+1/2+1/4))

= 7/4 $log_{3}$ x

Answer 2

Answer: The value of X is 3

Explanation : It is provided above