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OpenStudy (anonymous):
OpenStudy (anonymous):
@eliassaab
OpenStudy (anonymous):
have you used log or ln before
OpenStudy (anonymous):
you mean -3
OpenStudy (anonymous):
and @masri101 no i haven't
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OpenStudy (anonymous):
x=7
OpenStudy (anonymous):
3x−5=9
Create equivalent expressions in the equation that all have equal bases.
3x−5=32
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
(x−5)=2
Since −5 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 5 to both sides.
More Detail
x=5+2
Add 2 to 5 to get 7.
x=7
OpenStudy (anonymous):
sorry
OpenStudy (anonymous):
i got 7
OpenStudy (mathmale):
Great to see you!
This problem becomes much easier when we recognize that 9 is a power of the base 3: 9 = 3^2.
Then, you can rewrite the original equation as
\[3^{x-5}=3^{2}\]
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OpenStudy (mathmale):
since the base (3) is the same on both sides of this equation, the exponents are equal. Thus, x-5=2. What's x?
OpenStudy (anonymous):
7 :D
OpenStudy (anonymous):
thank you all!!!
OpenStudy (anonymous):
so i was right!
OpenStudy (anonymous):
lol
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