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)

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)

kropot72 · Answer

$$3\log_{b} q+6\log_{b} v$$
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?

anonymous · Answer

no

kropot72 · Answer

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:
$$6\log_{b} v=?$$