27 times 27
7 times 2,401
1,000,000,000 divided by 10,000,000
390,625 divided by 5
hope this helps!!
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:
8, 36, -12
Step-by-step explanation:
Q2
41 = 8x - 23
8x = 41 + 23
8x = 64
x = 8
Q4
11 = x/2 - 7
22 = x - 14
22 + 14 = x
x = 36
Q6
3(x - 8) = -60
x - 8 = -20
x = -12
So, difference as in subtract? so, if it is, it would be 15. if it means percent difference, it's about 60%.
1 = 1/4(2x+8)
1 = 1/2x + 2
1 - 2 = 1/2x
(-1) = 1/2x
x = (-1) : 1/2 = (-1) × 2/1 = (-2)
Answer : x = (-2)
