Log 3 x- log 9 x+ log 81 x = 3/4

Question

Log 3 x- log 9 x+ log 81 x = 3/4

Answer 1

Log a^p b^q= q/p log a b
log 3 x- log 9 x+ log 81 x = 3/4
ОДЗ x>0
log3 x -log 3^2 x+ log 3^4 x=3/4
log3 x -1/2 log23 x + 1/4log3 x=3/4
log3 x (1-1/2+1/4)=3/4
3/4 log3 x=3/4
log3 x=1
x=3

Answer 2

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