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Mathematics 16 Online
OpenStudy (anonymous):

solve

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

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 \[3^{x-5}=3^{2}\]

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

OpenStudy (anonymous):

thanks man

OpenStudy (mathmale):

:)

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