Find the exact solution using common logarithms Enter your a

Find the exact solution, using common logarithms. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) 2^-x^2 = 9 x = Find a two-decimal-place approximation of each solution. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) x almostequalto

Solution

Solution:

2^{-x^2} = 9

taking log on both side

-x^2 ln(2) = 9

x^2 = - 9/(ln(2)

x = (- 9/(ln(2) )

since there is - sign under root therefore there are no real values solution for x

therefore

x = NO SOLUTION

and other value of x in two decimal approximation

x = NO SOLUTION