Question

One question about a log identity.

Hold on, I need time to type it!

Answer 1

\[\huge\color{blue}{ Log_{10}9 \div Log_{10}6= Log_{6}9 }\]CAN I say the same also, if I had the same base, but not 10?

Answer 2

Like if I had \[\huge\color{blue}{ Log_{13}9 \div Log_{13}6 }\]

Answer 3

wouldn't it be Log10 3 because you would subtract?

Answer 4

WHAT RAE YOU TALKING ABOUT? this isn't 3x-x

Answer 5

Yes, that is correct. It is the change of base rule.

Answer 6

Thank you, was just verifying!

Answer 7

CLOSED

Answer 8

you're welcome