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: The value of x is 155/79.
Step-by-step explanation:
13(6x -5 )-x= 13 -2(x +1)
78x - 65- x = 13 -2x -2
77x -65 = 11-2x
79x -65 =11
79x =76
x = 76/79 76/ 79 + 1/1 = 155/79
Answer:
Q=2
Step-by-step explanation:
hello :
the solution to the system is
{(x,y) : x-3y=4} means infinty solution
X-3y=4
....(*)
Qx-6y=8....(**)
multiply (*) by -2
-2x+6y = -8 (***)
add (*) and (***) : (Q-2)x =0
this ie true for reals x when Q=2
