Solve 16^log4 x = 25

Question

agent0smith · Answer

$$\huge 16^{\log_4 x} = 25$$

hitaro9 · Answer

Is that 16 to the log of 4x, or 

16 to log base 4 of x?

isaiah.feynman · Answer

@milkacha Please we'd like to be sure.

agent0smith · Answer

In either case, you could start by taking logs of both sides.

shamil98 · Answer

could you screenshot it or take a picture?..

isaiah.feynman · Answer

Please attach a picture of the original question.

hitaro9 · Answer

Where are you getting the problem from? Is it online written exactly like that, is it from a book?

hitaro9 · Answer

We basically need to know where the 4 is relative to the x

hitaro9 · Answer

If the 4 is a little bit lower than the x, that's a different problem from if the 4 is right next to the x.

agent0smith · Answer

Take logs $$\huge \log 16^{\log_4 x} =\log 25$$use log laws$$\huge \log_4 x \log 16 =\log 25$$divide both sides by log16$$\huge \log_4 x  =\frac{ \log 25 }{ \log 16 }$$
and I'll stop here till you clarify the problem.

The solution is the same till here in either case.

agent0smith · Answer

You still have to put both sides to the power of 4, to find x.

anonymous · Answer

Yep all good I can take it from here, thanks alot.