ln56/ln7=ln8. Is this true or is this false? How can I find this out?

Answer 1

not true.
the quotient of logs is like a change of base

ln56/ln7 = log₇56

In this case, it's easy to find out whether it's true or not:

ln56 = 4.025
ln7 = 1.946
ln8 = 2.079

4.025/1.946 = 2.068 ≠ 2.079

ln56 - ln7 = ln(56/7) = ln8