Question 584718
 4^x = 0.5

Applying ln on both the sides, we get:

ln (4^x) = ln(0.5)

x ln4 =  ln(0.5)

Dividing both the sides by ln4

x = ln(0.5)/ln4

x = -0.693147/1.386294   {Using calculator}

x = - 0.500000
 or  x = -1/2    {Converting desimal to a fraction}