Question

Question 7 (1 point) Condense each expression to a single logarithm. 5 log 6 + 5log

Answer 1

The expression can be written as

$5\log _{10}6+5\log _{10}7$

Factoring out 5 gives

$5(\log _{10}6+\log _{10}7)$

Using the logarithm property that

$\log _bx+\log _by=\log _bxy$

we rewrite our expression as

$5(\log _{10}6\times7)$

Finally, using the other logarithm property that

$a\log _bc=\log _bc^a$

we rewrite our expression as

$5(\log _{10}6\times7)=\textcolor{#FF7968}{(\log _{10}6^5\times7^5).}$

which is choice b.