**-100 * 2^(0.5y) = -5**

Which of the following is the solution of the equation?

Guest Apr 24, 2019

#1**+1 **

-100 * 2^(0.5y) = -5 divide both sides by -100

2^(0.5y) = -5/-100 = 1/20 take the log of both sides

log 2^(0.5y) = log (1/20) and we can write

(0.5y) * log 2 = log (1/20)

y = log(1/20) / (0.5* log 2 ]

y = (1/0.5) * log (1/20) / log 2 reverse the change-of-base theorem

y = 2 * log_{2} (1/20)

CPhill Apr 24, 2019