No, you can not separate:
ln ( 7 + x ) ≠ ln 7 + ln x
You can separate just if you have a logarithm of multiplication.
For example:
ln ( 7 · x ) = ln 7 + ln x
Answer:
x<6/5, x>14/5
Step-by-step explanation:
Steps
$5\left|x-2\right|+4>8$
$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}$
$5\left|x-2\right|+4-4>8-4$
$\mathrm{Simplify}$
$5\left|x-2\right|>4$
$\mathrm{Divide\:both\:sides\:by\:}5$
$\frac{5\left|x-2\right|}{5}>\frac{4}{5}$
$\mathrm{Simplify}$
$\left|x-2\right|>\frac{4}{5}$
$\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad\mathrm{or}\quad\:u\:>\:a$
$x-2<-\frac{4}{5}\quad\mathrm{or}\quad\:x-2>\frac{4}{5}$
Show Steps
$x-2<-\frac{4}{5}\quad:\quad x<\frac{6}{5}$
Show Steps
$x-2>\frac{4}{5}\quad:\quad x>\frac{14}{5}$
$\mathrm{Combine\:the\:intervals}$
$x<\frac{6}{5}\quad\mathrm{or}\quad\:x>\frac{14}{5}$
The answer is C. 8 units what you need to do is count how much from the starting point P is 4 units from A. simply double it by 2 to the new point to get 8 units.<span />
I dont know sorry i am also bad in math
Direction: Isolate the variable by dividing each side by factors that don't contain the variable.
Here are the answers for all 15 questions:
1) x < - 2
2) x < 4
3) x > - 15/7
4) y < 28/5
5) x > 6
6) y > - 10/9
7) 0 < 333
8) x > 2
9) x > - 10
10) y > - 3
11) y > - 4
12) x > 3
13) x < 9/8
14) x > - 2
15) h < 7/2