contestada

Write log4 14 as a logarithm of base 3.
a) log base 4 of 3 over log base 14 of 3
b) log base 14 of 3 over log base 4 of 3
c) log base 3 of 4 over log base 3 of 14
d) log base 3 of 14 over log base 3 of 4

Respuesta :

Answer:

d

Step-by-step explanation:

To change the base of a logarithm

[tex]log_{b}[/tex] x = [tex]log_{c}[/tex] x / [tex]log_{c}[/tex] b

where c is the new base

Thus with c = 3

[tex]log_{4}[/tex] 14 = [tex]log_{3}[/tex] 14 / [tex]log_{3}[/tex] 4 → d

Otras preguntas