Answer:
Step-by-step explanation:
<u>Answer:</u>
The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.
<u>Solution:</u>
Given, expression is ![3^{(x+2)}=15](https://tex.z-dn.net/?f=3%5E%7B%28x%2B2%29%7D%3D15)
We have to solve the above expression using change of base formula which is given as
![\log _{b} a=\frac{\log a}{\log b}](https://tex.z-dn.net/?f=%5Clog%20_%7Bb%7D%20a%3D%5Cfrac%7B%5Clog%20a%7D%7B%5Clog%20b%7D)
Now, let us first apply logarithm for the given expression.
Then given expression turns into as, ![x+2=\log _{3} 15](https://tex.z-dn.net/?f=x%2B2%3D%5Clog%20_%7B3%7D%2015)
By using change of base formula,
x + 2 = 2.4649
x = 2.4649 – 2 = 0.4649
Hence, the value of x is 0.465 approximately and second option is correct one.
Grace spent $5.98 dollars on them peaches she purchased
Answer:
x = -3
Step-by-step explanation:
y = -x + 2
7x + 4y = -1
Subsitution method: (Substitute y)
7x + 4(-x+2) = -1
Expand.
7x + (-4x + 8) = -1
One plus and one minus make one minus. Two plus makes a plus.
7x -4x + 8 = -1
Simplify.
3x + 8 = -1
Isolate 3x.
3x = -1-8
= -9
Find x.
x = -9 ÷ 3
= -3