07-02-2021
Mathematics

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what is the solution of the exponential equation? use a graph. full calculations,[tex]27=3^{x-2}[/tex] please!!

Respuesta :

madethisfortwitch1 madethisfortwitch1

07-02-2021

Answer:

5

Step-by-step explanation:

if i really need to use a graph leave a comment

27=3ˣ⁻²

[tex]x=y^z\\=\\log_{y}x=z\\[/tex]

Which means that

[tex]27=3^{x-2}=\\log_327=x-2\\log_327=\frac{log27}{log3}=3\\3=x-2\\x=5[/tex]

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