Answer:
Step-by-step explanation:
- log 2x + log (x - 5) = 2
- log (2x(x - 5)) = 2
- 2x(x - 5) = 10²
- 2(x² - 5x) = 100
- x² - 5x - 50 = 0
- x² + 5x - 10x - 50 = 0
- x(x + 5) - 10(x + 5) = 0
- (x - 10)(x + 5) = 0
- x = 10
- x = -5, this root is discounted as log should be positive.
Correct choice is 3.
You solve for y
4y=-6x+2
y=-6/4x+2
y=-2/3x+2
Slope is -2/3, the number in front of x is the slope.
Answer:
The solution is x = e⁶
Step-by-step explanation:
Hi there!
First, let´s write the equation
ln(x⁶) = 36
Apply logarithm property: ln(xᵃ) = a ln(x)
6 ln(x) = 36
Divide both sides of the equation by 6
ln(x) = 6
Apply e to both sides
e^(ln(x)) = e⁶
x = e⁶
The solution is x = e⁶
Let´s prove why e^(ln(x)) = x
Let´s consider this function:
y = e^(ln(x))
Apply ln to both sides of the equation
ln(y) = ln(e^(ln(x)))
Apply logarithm property: ln(xᵃ) = a ln(x)
ln(y) = ln(x) · ln(e) (ln(e) = 1)
ln(y) = ln(x)
Apply logarithm equality rule: if ln(a) = ln(b) then, a = b
y = x
Since y = e^(ln(x)), then x =e^(ln(x))
Have a nice day!
Answer:
c2=10
Step-by-step explanation:
8^2+6^2=c2
64+36=120
c2=square root of 120..which is 10
