Write the expression using only the indicated logarithms.
-$\log 6 ( x + y )$ using common logarithms
A) $\frac { \log 6 } { \log ( x + y ) }$
B) $\frac { \log ( x + y ) } { \log 6 }$
C) $\log ( x + y ) \log 6$
D) $\log ( x + y ) + \log 6$

Question

Quizplus · Accepted Answer

The correct expression is obtained by using the change of base formula, which allows us to convert a logarithm to a different base. The formula is $\log_b a = \frac{\log_c a}{\log_c b}$, where $c$ is the new base. In this case, converting $\log_6 (x + y)$ to common logarithms (base 10) gives $\frac{\log (x + y)}{\log 6}$.

Write the Expression Using Only the Indicated Logarithms log⁡6(x+y)\log 6 ( x + y )log6(x+y)

Write the Expression Using Only the Indicated Logarithms $\log 6 ( x + y )$