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
remember [tex]log_a(b^c)=(c)log_a(b)[/tex] so [tex]2^{4x}=14[/tex] take the log of both sides [tex]log(2^{4x})=log(14)[/tex] or [tex]4xlog(2)=log(14)[/tex]
