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!
49 dollars
Step-by-step explanation:
14 times 3 is 42 and 3.50 times 2 is 7, so 42 plus 7 is 49.
Answer:
yes
Step-by-step explanation:
6(1)-2>3
6-2>3
4>3
The answer is 4.51 and what needs to be added to 4.5 is a .01
Answer:
-35/9
Step-by-step explanation:
(3^-2)-4
1/9-4
-35/9
