Answer:
The solution is x = 3
Step-by-step explanation:
Hi there!
First, let´s write the equation:
log(3) + 2 log(x) = log(27)
Substract log(3) from both sides of the equation
2 log(x) = log(27) - log(3)
Apply logarithm property: log(a) -log(b) = log(a/b)
2 log(x) = log(27/3)
2 log(x) = log(9)
Apply logarithm property: log(xᵃ) = a log(x)
log(x²) = log(9)
Apply logarithm equality rule: if log(a) = log(b) then a = b
x² = 9
Apply square root to both sides of the equation
x = 3
The solution is x = 3
Have a nice day!
I don't know I have work to do SORRY
This is the following way to solve this problem:
3x-10(x+2)=13-7x
3x-10x-20=13-7x (multiply 10 times what's in the parentheses)
-7x-20=13-7x ( subtract 3x from -10x)
-7x-20-13=-7x ( since the 13 is positive, when we move it to the other
side, we change it's sign, so now we subtract 13 from 20
-7x-7=-7x
-7=-7x+7x ( we do the same thing we did above, now with the -7x)
-7=x
x=-7
Answer: x = -7
--- --- --- --- --- --- ---
: )
Answer:
or 0.6 of a cup of juice
Step-by-step explanation:
Divide 3 by 5:
3/5
= 0.6
So, each person would get or 0.6 of a cup of juice.
Replace x in the equation with the x value from the ordered pair and see if the y value meets the inequality.
y ≤ 2(-9) -7
y ≤ -18 - 7
y ≤ -25
The y value in the ordered pair is 1, so replace y with 1 and see if the inequality is true:
1 ≤ -25
1 is a positive value and the equation equals a negative value, so this is not true, because 1 is greater than -25.
