How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_5 3#?

1 Answer
Jul 19, 2015

Answer:

I found: #log_5(3)=0.6826#

Explanation:

Using the change of base formula and choosing the natural log (#log_e=ln#) (that can be evaluated using a pocket calculator) you get:
#log_5(3)=ln(3)/(ln(5))=0.6826#

Remember that the change of base works as:
#log_a(b)=log_c(b)/(log_c(a)# where in our case #c=e#