(ln(100))/ln(10) =

Question

I know the answer is 2 so can you explain why. Thank you :)

Answer 1

100 = 10^2

10 = 10^1

logarithms are exponents -- powers of some base

regardless of the base, the logarithm of 100 will always be twice the logarithm of 10

Answer 2

ln(100)
= ln(10^2)
= 2ln10

so ln100/ln10
= 2ln10/ln10
= 2

Answer 3

also, this is just the change of base formula, so

ln(100)/ln(10) = log₁₀100 = 2