Answer:
[tex]ln (2x + 1)(2x - 1)[/tex]
Step-by-step explanation:
In(2x + 1) + In(2x - 1)
if we have plus inbetween two log terms then we multiply the log terms
the property of log is same as the property of ln
[tex]ln(2x + 1) + ln(2x - 1)[/tex]
ln m + ln n = ln(mn)
[tex]ln (2x + 1)(2x - 1)[/tex]
we expressed the give expression as the log of a single quantity
[tex]ln (2x + 1)(2x - 1)[/tex]
We can use the product rule [ [tex]\text{ln(xy)}=\text{ln(x)~+~\text{ln(y)}}[/tex] ] to simplify.
[tex]\text{ln(2x + 1)~+~ln(2x - 1)}[/tex]
[tex]\text{ln(2x + 1)(2x - 1)}[/tex]
→ [tex]\text{ln}(4\text{x}^2-1})[/tex] ←
Best of Luck!
