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2 years ago

Write log4 14 as a logarithm of base 3. HELP!!!!!

Mathematics

2 answers:

harkovskaia [24]2 years ago

8 0

Answer:

$\log_414=\frac{\log_{3}14}{\log_{3}4}$

Step-by-step explanation:

We have given $log_4 14$ is given we need to convert it in logarithmic base 3

Using log base change property

$\log_ab=\frac{\log_cb}{\log_ca}$

So, here we have to change $log_4 14$ using log base change property with base 3

where, a=4,b=14 and c=3

Substituting these values in log base change property and we get

Therefore, $log_4 14=\frac{\log_{3}14}{\log_{3}4}$

Sonja [21]2 years ago

3 0

It would be log3 14/log3 4
Hope this helps. (:

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