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*7)`

Finally, using the other logarithm property that

`a\log _bc=\log _bc^a`

we rewrite our expression as

`5(\log _(10)6*7)=\textcolor{#FF7968}{(\log _(10)6^5*7^5).}`

which is choice b.