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anonymous
 5 years ago
256^4x=64^x+3
anonymous
 5 years ago
256^4x=64^x+3

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0take log on both sides and solve

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do you know how to take log?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Or you can simply make the base the same

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0just what mooolen said 256 = 4^4 64 = 4^3 >4^16x = 4^(3x+9)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0wait, is the +3 on the exponent of 64 or ist it (64^x) +3? If it is the former, then do what moolen said.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[256^{4x}=64^x+3\]\[256^4x  64^x = 3\]\[4^{4(4x)}  4^{3x} =3\]\[4^{16x}  4^{3x} =3\]\[4^{16x}  4^{3x} =3 + 1  1\]\[4^{16x}  4^{3x} =4^1  4^0\] since they all got same bases, you can simply equate the exponents. \[16x  3x = 10\] \[x = 1/13\] NOT SURE IF I'VE DONE IT RIGHT. HOPE IT HELPED YOU.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sorry. I think I'm wrong

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0256^(4x) = 64^(x+3) ???

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0its hard to tell how the problem reads to begin with...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i think the answer is x=0,9/13

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0thats possible, but whats the question to begin with?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0256^(4x) = 64^(x+3) 4x log2(256) = (x+3) log2(64) 4x log2(64)  =  (x+3) log2(256)  4x = log2(64) x = log2(64)/4  x+3 = log2(256) x = log2(256) 3

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0if anything x = 9/13 :) if i see your question correctly

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0if x = 0 the you get 1 = 64^3 which is not right
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