Daniel is using logarithms to solve the equation 24x = 14. Which of the following equations would be equivalent to his original expression?

Question

anonymous · Answer

These are the choices

2 log 4x = log 14

4x log 2 = log 14

2 log 4 = x log 14

x log 4 = 2 log 14

jim_thompson5910 · Answer

The original equation is 

$$\Large 2^{4x} = 14$$

right?

anonymous · Answer

Yes

anonymous · Answer

@Isaih.Feynman?

jim_thompson5910 · Answer

Take the log of both sides. Then use rule 3 on this page http://www.purplemath.com/modules/logrules.htm to get $$\Large \log(2^{4x}) = \log(14)$$ $$\Large 4x\log(2) = \log(14)$$

anonymous · Answer

Thank you for helping jim

anonymous · Answer

Thank you so very much Jim! I was so desperate for that answer. I am taking a 50 question test and that was the only one I was missing! I just made this account and I don't know how to give medals or anything, but thank you!