Question

Daniel is using logarithms to solve the equation 2^4x = 14. Which of the following equations would be equivalent to his original expression?
A. 2 log 4x = log 14
B.4x log 2 = log 14
C.2 log 4 = x log 14
D. x log 4 = 2 log 14

Answer 1

Remember
$log_a(b^c)=(c)log_a(b)$
so
$2^{4x}=14$ take the log of both sides
$log(2^{4x})=log(14)$ or
$4xlog(2)=log(14)$

B is the answer