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OpenStudy (anonymous):
help?
Solve 8^x - 2 = 3
x ≈ 2.52
x ≈ 0.26
x ≈ 2.74
x ≈ 0.40
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OpenStudy (compassionate):
Hello.
\[8^x - 2 = 3 \rightarrow 8^x = 5\]
Now just take the root of 8 to solve.
OpenStudy (anonymous):
c?
OpenStudy (blurbendy):
are you sure those are the correct answer choices?
OpenStudy (anonymous):
yes
OpenStudy (blurbendy):
x should be something like .77 though...
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OpenStudy (anonymous):
wait, I think you got the question wrong..kind of. its 8^(x - 2 )= 3
OpenStudy (blurbendy):
ooo..
OpenStudy (anonymous):
so?
OpenStudy (blurbendy):
8(2.52 - 2) ≈ 3
OpenStudy (anonymous):
so how do I do it..?
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OpenStudy (blurbendy):
take the log base 8 of both sides
log(base8)8 ^ (x - 2) = x-2
log(base8) 3 = log(3) / log(8)
x - 2 = log(3) / log(8)
x = 2 + log(3) / log(8)
OpenStudy (anonymous):
okay..i think im following..
OpenStudy (anonymous):
@Compassionate can you help???????
OpenStudy (compassionate):
The opposite of 8 to the x is the logarithm of 8. Which is?
OpenStudy (anonymous):
I have no idea..
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OpenStudy (compassionate):
The logaritm of 8 is 2.
OpenStudy (anonymous):
oh..
OpenStudy (compassionate):
So take it to both sides
log(based: 8) = 5 -(log base 8)
OpenStudy (anonymous):
okay
OpenStudy (compassionate):
So then we get x = 0.74
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OpenStudy (anonymous):
yup got it. thanks!
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