Brandon1995
New member
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- Feb 7, 2021
- Messages
- 2
Write the expression as a sum and/or difference of logarithms. Express powers as factors.
- Thread starter Brandon1995
- Start date
Questions
(1) Why is it specified that x > 4?
(2) What is the importance of the following fact?
[MATH]\text {Given } a > 0, \ a \ne 1, \text { and } x > 0, \text { then } log_a(b) = c \iff a^c = b[/MATH]?
(3) How does this relate to the laws of logarithms?
(4) What laws of logarithms might be relevant to this problem?
(1) Why is it specified that x > 4?
(2) What is the importance of the following fact?
[MATH]\text {Given } a > 0, \ a \ne 1, \text { and } x > 0, \text { then } log_a(b) = c \iff a^c = b[/MATH]?
(3) How does this relate to the laws of logarithms?
(4) What laws of logarithms might be relevant to this problem?
pka
Elite Member
- Joined
- Jan 29, 2005
- Messages
- 11,971
If \(x>4\) then \(\log\left(\dfrac{5x\sqrt{1+7x}}{(x-4)^2}\right)=\log(5)+\log(x)\)+\(\dfrac{\log(1+7x)}{2}-2\log(x-4)\)