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allochka39001 [22]
3 years ago
5

Write log8 3 as a logarithm of base 5.

Mathematics
2 answers:
NISA [10]3 years ago
6 0

Answer:

log_8(3)=\frac{log_5(3)}{log_5(8)}

Step-by-step explanation:


The  given logarithmic expression is


log_8(3)


We read this logarithmic expression as "The logarithm of 3 to base 8".


We want to rewrite so that the base is 5.


Recall that;

log_a(b)=\frac{log_c(b)}{log_c(a)}


This is called the change of base formula.


We apply this formula to get;

log_8(3)=\frac{log_5(3)}{log_5(8)}



denis-greek [22]3 years ago
5 0
The answer is log5) 3) log5)8
Example a= 8, x=3, b=5
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