Question

i will give brainliest!

What is the value of x in 2(5^x) = 14?


a. 0.34



b. 1.15



c. 1.21



d. 219.33

Answer 1

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