Solve log½(x - 3) = -4?

log(1/2)[x-3]=-4
=>
x-3=(1/2)^(-4)
=>
x-3=1/2^(-4)
=>
x-3=2^4
=>
x=16+3
=>
x=19

take antilog base ½ of both sides

http://www.wolframalpha.com/

http://www.wolframalpha.com/input/?i=log%C2%BD(x+-+3)+%3D+-4

log½(x - 3) = -4

Log to base 1/2 ?

x - 3 = (1/2)^-4

= 2^4

x = 16 + 3

= 19