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OpenStudy (anonymous):
I NEED MAJOR HELP IM TRYING TO SOLVE EQUATIONS WITH EXPONENTS
(X+1)^3/2=64
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OpenStudy (anonymous):
hey
OpenStudy (anonymous):
x^3 + 1 /2 = 64
Find the greatest common denominator, so 2 x 64 = 128
x^3 + 1 = 128 ( cancel out denominators)
x^3 = 127
OpenStudy (anonymous):
I may be wrong however
OpenStudy (anonymous):
yeah, you are wrong.. :)
OpenStudy (anonymous):
lol thought so
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OpenStudy (anonymous):
multiply both sides by 2. (x+1)^3 = 128. to get rid of the exponents, take the cube root of both sides. x+1 = cbrt (128). x = cbrt(128) - 1
OpenStudy (anonymous):
that's assuming the 2 is not part of the exponent
OpenStudy (anonymous):
Ahh nicely done man I'm only 15 so forgot to cube root :P
OpenStudy (anonymous):
no problem i'm older than that be careful about giving out help if you're not sure though :)
OpenStudy (anonymous):
SO WHATS THE ANSWER
A)15B)511C)17D)21
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OpenStudy (amistre64):
we should verify what the equation actually is because the way it is is confusing.
OpenStudy (amistre64):
(X+1)^(3/2)=64 ?
or
[(X+1)^3]/2=64
OpenStudy (anonymous):
(X+1)^2/3=64
OpenStudy (amistre64):
thats what you had typed before, and it is ambiguous. Pick one of the ones I offered please.
OpenStudy (anonymous):
THE FIRST
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OpenStudy (amistre64):
ok...
(X+1)^(3/2)=64
ln((x+1)^(3/2)) = ln(64)
(3/2) ln(x+1) = ln(64)
log2(x+1) = (2/3) log2(64)
log2(x+1) = (2/3) (6)
log2(x+1) = 4
x+1 = 2^4
x+1 = 16
x = 15
if I did it all right :)
OpenStudy (anonymous):
THANKS SO MUCH
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