Solve 4^x=20 Round to the nearest ten thousandth

Question

lgbasallote · Answer

do you know how to convert it to logarithmic form?

anonymous · Answer

No.. my teacher sucks. :)

anonymous · Answer

lol

anonymous · Answer

take log number on log the base and it will be x=log20/log4

anonymous · Answer

$$4^x=20$$
$$x \log 4 = \log 20$$
$$x=\frac{\log20}{\log 4}$$
Basically, log both sides. Usually the log rule, you can take the exponent x and place it as a coefficient. Then divide both sides to solve for x.

anonymous · Answer

Okay

lgbasallote · Answer

lol when i said change to log form i meant $$\LARGE a^x = b \Longleftrightarrow \log_a b = x$$

anonymous · Answer

Ohh I think I learned that. I think. lol

lgbasallote · Answer

well you end up with $$\large \frac{\log 20}{\log 4}$$ anyway..have you learned that?

anonymous · Answer

yea.. I think so. But we learn stuff so quick i never get a chance to fully understand.

anonymous · Answer

I got the answer now :)