We have the following expression:
2 (5 ^ x) = 14
We must clear the value of x:
(5 ^ x) = 14/2
(5 ^ x) = 7
We apply logarithm to both sides:
log5 (5 ^ x) = log5 (7)
By properties of logarithm we have:
x = 1.21
Answer:
the value of x in 2 (5 ^ x) = 14 is:
c. 1.21