Question

log3 X- log9 X- log81 X= 3/4

Answer 1

$log_{3}x-log_{9}x-log_{81}x = frac{3}{4}\ log_{9}x=frac{log_{3}x}{2}\ log_{81}x=frac{log_{3}x}{4}\ log_{3}x=t\ t-frac{t}{2} - frac{t}{4}=frac{3}{4}\ t=3\ x=27$

Answer 2

$log_{3}{x}-log_{ 3^{2} }{x}-log_{ 3^{4} }{x}= frac{3}{4}$
$log_{3}{x}- frac{1}{2} log_{3}{x}- frac{1}{4}log_{3}{x}= frac{3}{4}$
$(1- frac{1}{2}- frac{1}{4} )log_{3}{x}= frac{3}{4}$
$frac{3}{4} log_{3}{x}= frac{3}{4}$
$log_{3}{x}=1$
$x=3$