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

posted on December 23, 2021

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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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The answer is 1) (log4) 5 / (log4) 6

We will use the base change formula: $log_a (x) = frac {log_b (x)} {log_b (a)}$

So if we want to write log6 5 as a logarithm of base 4. in this example a = 6, x = 5, b = 4:
$log_6 (5) = frac {log_4 (5)} {log_4 (6)}$

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