You can put this solution on YOUR website! 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}