Question

calcule logy (1/256)=-4

Answer 1

$\log_y\left(\dfrac{1}{256}\right)=-4\Longleftrightarrow{y}^{-4}=\dfrac{1}{256}\\\\\\y^{-4}=\dfrac{1}{256}\\\\\\y^{-4}=\dfrac{1}{4^4}\\\\\\y^{-4}=\dfrac{4^0}{4^4}\\\\\\y^{-4}=4^{0-4}\\\\y^{-4}=4^{-4}\\\\\therefore\ y=4$

Answer 2

$ Ola marilia

logy(256) = 4

log(256)/log(y) = 4

log(y) = log(256)/4 = 

log(y) = log(4^4)/4 = log(4)

y = 4 

pronto