Question

Write the expression as a single logarithm 3log(b)q+6log(b)v
A. log(b)(q^3v^6)
B. (3+6)log(b)(q+v)
C. log(b)(qv^3+^6)
D. log(b)(q^3+v^6)

Answer 1

\[3\log_{b} q+6\log_{b} v\]
The first step is to rearrange each of the terms using the following rule:
\[a \log_{b} c=\log_{b} c ^{a}\]
Can you do that?

Answer 2

no

Answer 3

Lets do the first term using the rule:
\[a \log_{b} c=\log_{b} c ^{a}\]
\[3\log_{b} q\]
You take the coefficient of the term, which is 3, and raise q to the power of 3:
\[3\log_{b} q=\log_{b} q ^{3}\]
Can you follow this procedure for the second term:
\[6\log_{b} v=?\]