striplinmandy striplinmandy

21-11-2022
Mathematics

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If 3220 = 8+7, what is the value of c?
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Respuesta :

mathstudent55 mathstudent55

21-11-2022

Answer:

c = 3

Step-by-step explanation:

[tex] 32^{2c} = 8^{c + 7} [/tex]

[tex] (2^5)^{2c} = (2^3)^{c + 7} [/tex]

[tex] 2^{10c} = 2^{3c + 21} [/tex]

[tex] 10c = 3c + 21 [/tex]

[tex] 7c = 21 [/tex]

[tex] c = 3 [/tex]

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