Question

Write the expression as a single logarithm.

http://awesomescreenshot.com/0252c3kl10

Answer 1

3

Answer 2

How'd you get that?

Answer 3

It is the first option the correct one, because you can use the property

\[n\log_b g=\log_b(g^n)\] So,
\[3\log_bq+6\log_bv=\log_b(q^3)+\log_b(v^6)\] And using,
\[\log_b(a)+\log_b(c)=\log_b(a+c)\] You have,
\[3\log_bq+6\log_bv=\log_b(q^3)+\log_b(v^6)=\log_b(q^3\cdot v^6)\]

Answer 4

Sorry, the second property I use should be,

\[\log_b(a)+\log_b(c)=\log_b(a\cdot c)\] but the result is well written.

Answer 5

Thank you... much appreciated ^-^