31543 31543
  • 07-02-2020
  • Mathematics
contestada

Solve 3^n=5. How to solve n?

Respuesta :

gmany
gmany gmany
  • 08-02-2020

Answer:

[tex]\huge\boxed{n=\log_35}[/tex]

Step-by-step explanation:

[tex]3^n=5\Rightarrow\log_33^n=\log_35\qquad\text{use}\ \log_ab^n=n\log_ab\\\\n\log_33=\log_35\qquad\text{use}\ \log_aa=1\\\\\boxed{n=\log_35}[/tex]

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