In words it is 16 times 1/2 to the x divided by five power equals two.
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16(1/2)^(x/5) = 2
16(2^-1)^(x/5) = 2
16(2)^(-x/5) = 2
(2^4)(2)^(-x/5) = 2
(2)^(4-x/5) = 2
Take the log base 2 of each side
(4-x/5) = 1
-x/5 = -3
x = 15
16(2^-1)^(x/5) = 2
16(2)^(-x/5) = 2
(2^4)(2)^(-x/5) = 2
(2)^(4-x/5) = 2
Take the log base 2 of each side
(4-x/5) = 1
-x/5 = -3
x = 15