Question

Найти x, если log4 x=-1,5; logx 1/3=-1/2

Answer 1

Log4x=-1.5
log2^2x=-3/2
1/2log2x=-3/2
(1/2log2x)/(1/2)=(-3/2)/(1/2)
log2x=-(3*2)/(2*1)
log2x=-3
x=2^-3
x=1/2^3
x=1/8

Второй
logx1/3=-1/2
1/3=x^-1/2
X^-1/2=1/3
1/(x^1/2)=1/3
x^1/2*1=1*3
x^1/2=3
√x=3
x=9