b9rarookalhorale b9rarookalhorale
  • 21-11-2016
  • Mathematics
contestada

Write log6 5 as a logarithm of base 4.

1) (log4)5/(log4)6
2) (log4)6/(log4)5
3) (log5)4/(log6)4
4) (log6)4/(log5)4 ...?

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JcAlmighty
JcAlmighty JcAlmighty
  • 22-11-2016
The answer is 1) (log4)5/(log4)6

We will use the change-of-base formula: [tex]log_a(x)= \frac{log_b(x)}{log_b(a)} [/tex]

So, if we want to write log6 5 as a logarithm of base 4. in these example a = 6, x = 5, b = 4:
[tex]log_6(5)= \frac{log_4(5)}{log_4(6)}[/tex]
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uhtohstinky uhtohstinky
  • 11-02-2021

Answer:

1) (log4)5/(log4)6

Step-by-step explanation:

Answer Link

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