How do you use the Change of Base Formula and a calculator to evaluate #log_sqrt{5} (8)#?

1 Answer
Jul 5, 2015

Answer:

I found: #log_(sqrt(5))(8)=(ln(8))/(ln(sqrt(5)))=2.584#

Explanation:

Your calculator can evaluate, for example, natural logarithms, indicated as #ln#.
So you can change your log into this form by doing this:
#log_(sqrt(5))(8)=(ln(8))/(ln(sqrt(5)))=2.584#

Remembering the Change of Base Formula :
#log_a(x)=log_b(x)/log_b(a)#