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:
108
Step-by-step explanation:
12 x 9 =108
Answer:
6x - 21
Step-by-step explanation:
3(2x - 7)
Use the Distribute Property of Multiplication by multiplying the number outside the parenthesis with the numbers inside.
3 × 2x = 6x
3 × -7 = -21
Combine:
6x - 21
Hope this helped.
It is not straight and does not always pass through 0,0
so A, C, and D are incorrect.
Look up nonlinear function, and it shows a curved line.
The answer is B. It can be curved.
Answer: 31,755
Step-by-step explanation: You would just multiply 365 by 87 like this.
365 x 87
and the answer would be 31,755.
365 x 87 = 31,755
