Question

De o valor dos logaritmos a seguir 0,5 log 0,5 2

Answer 1

$0.5\log_{0.5}(2)=x\\\\\log_{0.5}(2^{0.5})=x\\\\0.5^x=2^{0.5}\\\\\left(\dfrac12\right)^x=2^{0.5}\\\\(2^{-1})^x=2^{0.5}\\\\2^{-x}=2^{0.5}\\\\-x=0.5\\\\x=-0.5$