Question

Calcule:Log 1/4 na base 32

Answer 1

log 32 na base 1/4=x
log 2^5 na base 2^(-2)=x
2^5=[2^(-2)]^x
5=-2x
x=-(5/2)

Answer 2

$A ,base, e,32 \\ log_{32}\frac{1}{4}=x \\ 32^{x}= 2^{-2} \\2^{5x}=2^{-2} \\ 5x=-2 \\ x= -(\frac{5}{2})$