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OpenStudy (steve816):
\[9^x = 4\]
What is
\[3^{5x}\]
OpenStudy (steve816):
I got 34 as an answer, is that right?
OpenStudy (anonymous):
134x i think
OpenStudy (steve816):
No that is not right...
OpenStudy (anonymous):
ok
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OpenStudy (steve816):
cammie you're not helping...
OpenStudy (anonymous):
well I took 3x3x3x3x3 five times
OpenStudy (steve816):
Well, that is not how you do this problem! @Cammie21
OpenStudy (steve816):
Please, I need someone smart
OpenStudy (anonymous):
lol solve for x in \[9^x = 4\] by using logarithms
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OpenStudy (steve816):
HELP ME PLEASE!!
OpenStudy (anonymous):
What does X equal?
OpenStudy (anonymous):
well idc and are u calling me stupid
OpenStudy (steve816):
I need help, urgent
OpenStudy (anonymous):
@steve816 do this\[x=\log_{9}(4) \]
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OpenStudy (steve816):
SO how does that help???
OpenStudy (steve816):
The question is asking what is 3^5x
OpenStudy (anonymous):
it tells you what x's value is
OpenStudy (nuttyliaczar):
That gives you x, then you multiply x by 5 for the next part and use the new value
OpenStudy (anonymous):
what she said ^
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OpenStudy (steve816):
how do I get the answer?
OpenStudy (mattga2002):
I know this is not what you are looking for. but the answer to 9^x=4 is x=0.63093
OpenStudy (nuttyliaczar):
I would use a calculator, nobody likes logarithms when the exponent is a fraction. And you know it's a fraction because the result is less than the base number but higher than 1. If the result was less than 1, your exponent is also negative
OpenStudy (steve816):
You know what... I give up... this is a no calc question...
OpenStudy (nuttyliaczar):
How about raising each side to the 5th power? That will turn the ^x into ^5x
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OpenStudy (mattga2002):
You Can Easily Use A Calculator, I Agree With @steve816
OpenStudy (nuttyliaczar):
No I mean if you want to not use a calculator, do it the way I just said
OpenStudy (anonymous):
or just substitute mattga2002's answer for x\[3^{5(0.63093)}\]
OpenStudy (nuttyliaczar):
(9^x)^5=4^5
OpenStudy (anonymous):
and solve
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OpenStudy (nuttyliaczar):
Yes but he is avoiding using a calculator. He should just apply the ^5 to both sides
OpenStudy (nuttyliaczar):
It's still ugly to solve on paper but it's nicer than a logarithm