Find the exact value of the following logarithm without using a calculator. Use the properties of logarithms. Please show all of your work. log8 104 - log8 13

Question

anonymous · Answer

Logs have the property that if you have the logs with the same base (8), and they are subtracted, you may take the log of the two numbers divided by eachother

so, log(8)104 - log(8)13 becomes log(8) (104/13)

Does that help?

anonymous · Answer

Is this the answer?

anonymous · Answer

Your professor wants an exact answer. No one knows the value of log(8) (104/13)   so, you need to simplify it. Can you simplify this (the answer is yes)