Question

Convert log110 to an expression containing only natural logarithms

Answer 1

change of base formula says \[log_b(x)=\frac{log_a(x)}{log_a(b)}\]
but i cannot read exactly what you wrote.

your answer will look like \[\frac{ln(x)}{ln(10)}\] if your base is ten.

Answer 2

Thanks, the question is really

Log10(110) (10 being th base)
So what is the x value on the top of the fraction [ln(x)]?

Answer 3

ok change of base formula: on top goes log of input, on bottom goes log of base.

Answer 4

k

Answer 5

the base here is ten, so you use
\[log_10(110)=\frac{ln(110)}{ln(10)}\]

Answer 6

this is why fancy calculators only have the natural log. you can always convert. it is also how you solve \[b^x=A\] for x

Answer 7

Thanks alot my good man.

Answer 8

welcome