Answer:
![log_{3} 9 = 2](https://tex.z-dn.net/?f=log_%7B3%7D%209%20%3D%202)
Step-by-step explanation:
for an equation
,
the corresponding log equation is ![log_{a} c = b](https://tex.z-dn.net/?f=log_%7Ba%7D%20c%20%3D%20b)
so your corresponding equation is ![log_{3} 9 = 2](https://tex.z-dn.net/?f=log_%7B3%7D%209%20%3D%202)
We have to determine the equation of the line passing through the point (2,-5) and parallel to the line ![5x = 6y+7](https://tex.z-dn.net/?f=5x%20%3D%206y%2B7)
When two lines are parallel, then the slopes of the two lines are equal.
Equation of line with point
and slope 'm' is given by:
![(y-y_1) = m(x-x_1)](https://tex.z-dn.net/?f=%28y-y_1%29%20%3D%20m%28x-x_1%29)
Since, we have to determine the equation of a line with point (2,-5).
So, the equation of the line is : ![(y-(-5)) = m(x-2)](https://tex.z-dn.net/?f=%28y-%28-5%29%29%20%3D%20m%28x-2%29)
![y+5 = m(x-2)](https://tex.z-dn.net/?f=y%2B5%20%3D%20m%28x-2%29)
Since, the line is parallel to the line ![5x = 6y+ 7](https://tex.z-dn.net/?f=5x%20%3D%206y%2B%207)
So, ![6y +7 = 5x](https://tex.z-dn.net/?f=6y%20%2B7%20%3D%205x)
![6y = 5x - 7](https://tex.z-dn.net/?f=6y%20%3D%205x%20-%207)
![y = \frac{5}{6}x - \frac{7}{6}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B5%7D%7B6%7Dx%20-%20%5Cfrac%7B7%7D%7B6%7D)
So, slope of the line 'm' is
.
Therefore, the equation of the line is:
![(y+5) = \frac{5}{6}(x-2)](https://tex.z-dn.net/?f=%28y%2B5%29%20%3D%20%5Cfrac%7B5%7D%7B6%7D%28x-2%29)
![6y + 30 = 5x - 10](https://tex.z-dn.net/?f=6y%20%2B%2030%20%3D%205x%20-%2010)
![6y - 5x = -10-30](https://tex.z-dn.net/?f=6y%20-%205x%20%3D%20-10-30)
![6y - 5x = -40](https://tex.z-dn.net/?f=6y%20-%205x%20%3D%20-40)
Therefore,
is the required equation of the line.
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♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>
➷ Tens are 'whole' and tenths are 'decimal'
[i'll give an example so it makes more sense]
1846.97
In this number, the tens value would be '4' or forty
The tenths value would be '9' or 9 tenths (0.9)
Any further queries, feel free to ask me.
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➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡