5 x divided by 2 equal to minus 5
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Answered by
3
5x/2=-5
x = (-5×2)/5
x = (-10)/5
x = -2
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Answered by
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Answer:
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Step-by-step explanation:
Consider the given equation is
\dfrac{2^{5x}}{2^x}=\sqrt[5]{32}
2
x
2
5x
=
5
32
We need to find the value of x.
It can be rewritten as
\dfrac{2^{5x}}{2^x}=\sqrt[5]{2^5}
2
x
2
5x
=
5
2
5
Using the properties of exponents we get
2^{5x-x}=22
5x−x
=2 [\because \dfrac{a^m}{a^n}=a^{m-n}, \sqrt[n]{a^n}=a][∵
a
n
a
m
=a
m−n
,
n
a
n
=a]
2^{4x}=2^12
4x
=2
1
On comparing both sides we get
4x=14x=1
x=\dfrac{1}{4}x=
4
1
Therefore, the value of x is 1/4.
#Learn more
If 2 ki power 5x divide 2 ki power x is equal to 5 under root 2 ki power 20 then find x.
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