mclairegill08
mclairegill08 mclairegill08
  • 13-01-2022
  • Mathematics
contestada

Given log3 4=1.262 and log3 7=1.771, what is the value of log3 (16/7)?

Respuesta :

devishri1977
devishri1977 devishri1977
  • 13-01-2022

Answer:

Step-by-step explanation:

[tex]log \dfrac{a}{b}=log \ a - log \ b\\\\log \ a^{m}=m*log \ a\\\\\\log_{3} \ \dfrac{16}{7}=log_{3} \ 16 - log_{3} \ 7\\\\\\= log_{3} \ 4^{2} - log_{3} \ 7\\\\=2*log_{3} \ 4 - log_{3} \ 7\\\\= 2 * 1.262 - 1.771\\\\= 2.524 - 1.771\\\\= 0.753[/tex]

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