Answer:
log₁.₅3 or 2.70951
Step-by-step explanation:
- 3^(2x) - 2^(x + 1) * 3^x - 3*2^(2x) = 0
- 3^(2x)- 2*2^x*3^x + 2^(2x)- 4*2^(2x)=0
- (3^x-2^x)^2 - (2*2^x)^2=0
- (3^x-2^x+2*2^x)(3^x - 2^x - 2*2^x)=0
- (3^x+2^x)(3^x- 3*2^x)=0
- 3^x+2^x>0 for any value of x
- 3^x- 3*2^x=0
- 3^x= 3*2^x
- 3^x/2^x=3
- 1.5^x=3
- x= log₁.₅ 3 = 2.70951
Its the same thing because your just switching the order which doesn't matter when your adding or multiplying
N= 1
1(1-1)-4 = 0-4 = -4
n=2
2(2-1)-4= 2-4= -2
n=3
3(3-1)-4= 6-4= 2
n=4
4(4-1)-4= 12-4= 8
X + 2y = 8
x = -2y + 8....so we sub -2y + 8 for x in the other equation
2x + y = 7
2(-2y + 8) + y = 7
-4y + 16 + y = 7
-3y = 7 - 16
-3y = - 9
y = -9/-3
y = 3
x = -2y + 8
x = -2(3) + 8
x = -6 + 8
x = 2
solution is (2,3)
There are 100 centimeters in a meter, so just divide 238/100 = 2.38
The answer is 2.38
Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)