Solve the following logarithmic equation : log4 256=x. show work to get medal

Question

myininaya · Answer

the only thing to do is to simplify
it is already solved

anonymous · Answer

Simplify how?

myininaya · Answer

4 is 4^1
256 is 4^4

use the change of base formula to simplify
well that is the way I would simplify 

there are other ways to look at it of course

myininaya · Answer

if you don't like that write the equation you gave in exponential form

anonymous · Answer

Is the answer x=4 or did I do something wrong?

myininaya · Answer

that is right
because 4^4=256

anonymous · Answer

Thanks your the best. You helped me understand and solve the questions

myininaya · Answer

np

anonymous · Answer

Think you can help me solve one more question.

myininaya · Answer

ok

anonymous · Answer

Three sides of a fence and an existing wall form a rectangular enclosure. The total length of a fence used for the three sides is 240ft. Let x be the length of two sides perpendicular to the wall as shown. Write an equation of area A of the enclosure as a function of the length x of the rectangular area as shown in the above figure. Then find value(s) of x which the area is 5500ft^2