Can anybody please help me solve this..i already have the answer..i just need to know the steps..

Find the solution to the equation
64^(x – 4) = 4^(2x).

Question

Can anybody please help me solve this..i already have the answer..i just need to know the steps..

Find the solution to the equation 
64^(x – 4) = 4^(2x).

anonymous · Answer

x=12..my question is why does it equals to 12...what are the steps taken to get the answer

anonymous · Answer

match the bases then solve for x

anonymous · Answer

how can you rewrite 64 ?

anonymous · Answer

what do you mean by match the bases? 
4^16 = 64 ..how will we implement this?

anonymous · Answer

4^3(x-4)=4^(2x)

anonymous · Answer

4^3(x-4)=4^(2x)  

3(x-4)= 2x
3x-12 = 2x
-12= -x
-x/-1= -12/-1???

anonymous · Answer

therefore x=12?

anonymous · Answer

3(x-4) = 2x
x-(2/3)x = 4
(1/3)x = 4
so x= 12

anonymous · Answer

yep.. its easier when the bases are the same

anonymous · Answer

hmm..i see..

anonymous · Answer

thanks alot for the help...

anonymous · Answer

if not.. then you would have to go logging

anonymous · Answer

oooh ok..thats what i was thinking..that i have to do logging on this one too..and just the though was very intimidating..lol

anonymous · Answer

thought*

anonymous · Answer

its not that bad.. just practice

anonymous · Answer

|dw:1324027331609:dw|