Use the Laws of Logarithms to combine the expression

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

Use the Laws of Logarithms to combine the expression.

log7(x2 − 36) − log7(x − 6)
 
Sep 26th, 2017

Since the logs have the same base (7), the subtration outside can be turned into division inside.

log [base7] {(x^2-36)/(x-6)} now we just use algebra.

We can factor out x^2-36 to (x+6)(x-6) *the form is difference of squares. Now we have this:

(x+6)(x-6) / (x-6) in the log parenthesis. This can be simplified by canceling out the x-6 to give us x+6.

Answer : log [base7] (x+6)

*The rule I used is this

log[b] (x) - log[b] (y) = log[b] (x/y) 

conversely, we multiply in the presence of addition

log[b] (x) + log[b] (y) = log[b] (xy)

Apr 13th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Sep 26th, 2017
...
Sep 26th, 2017
Sep 26th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer