Question

Write the expression as a single logarithm.

\[\log_3 40 – \log_3 10\]

Answer 1

\[\log_{c} a-\log_{c} b \implies \log_{c} \frac{a}{b}\]
\[\log_{3} 40-\log_{3} 10 \implies \log_{3} \frac{40}{10}\]

Am I on the right track?

Answer 2

Yeah.

Answer 3

Is the result I came up with am I correct? \[\log_{3}4\]

Answer 4

Of course.

Answer 5

Well I'm not sure I just learned the log properties, I don't know if we are allow to simplify 40/10 to 4.

Answer 6

Okay thank you :)