Magician66viz
Answered

Calculate x: 
a) log¼ x = -2
b) log4 x=3/2
c) log81 x² = 1/2

Sagot :

Bituinviz
[tex]\\log_{\frac14}x=-2\iff x=(\frac14)^{-2} \\ \\x=4^2 \\ \\x=16 \\b) \\log_4x=\frac32\iff x=4^{\frac32} \\ \\x=2^3 \\ \\x=8 \\c) \\log_{81}x^2=\frac12\iff x^2=81^{\frac12} \\ \\x^2=9 \\ \\x=-3 \vee \ x=3[/tex]