Question

¿Cómo se haría el logaritmo en base 0.5 de 4?
Log(0-5) [4]=x

Answer 1

log(0.5) [4] = x ⇒   (0.5)^x = 4
                        ⇒   (1/2)^x = 2^2

                        ⇒     2^(-x) = 2^2

                        ⇒          x = -2

Comprobación:      (0.5)^x = 4  si x= -2  →  (0.5)^(-2) = 
                                                                                    =  (1/2)^-2
                                                                                    =   2^2
                                                                                    = 4