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Thanks Sir 👍
Most welcome
Where did you learn your maths?
Interesante video gracias por compartir la solución de la ecuacion exponencial. 😊❤😊.
18=16+2=4^2+√4 ,x=2 or 1/2 since 1 (1/2)=2
X is 2. Intuition
4^x+4^(1/x)=18 =4²+4^½Therefore x=2Algebraicly take modulo 3:[mod(4,3)]^x+[mod(4,3)]^(1/x)=01^x+1^(1/x)=01^(1/x) is the xth root of 11^(1/x)=-1 --> 1/x=½Therefore x=2
Let us -> Let's
x > 0, AM/GM theorem gives a minimum when x = 1, f(x) = 8.
16+2= 18
This is what I used to solve the equation
Can we put 4^x=yThen y+1/y=18But.in the end we have x≈2.08How that
If y=4^x then 1/y=1/(4^x)=4^(-x)
Thanks Sir 👍
Most welcome
Where did you learn your maths?
Interesante video gracias por compartir la solución de la ecuacion exponencial. 😊❤😊.
18=16+2=4^2+√4 ,x=2 or 1/2 since 1 (1/2)=2
X is 2. Intuition
4^x+4^(1/x)=18
=4²+4^½
Therefore x=2
Algebraicly take modulo 3:
[mod(4,3)]^x+[mod(4,3)]^(1/x)=0
1^x+1^(1/x)=0
1^(1/x) is the xth root of 1
1^(1/x)=-1 --> 1/x=½
Therefore x=2
Let us -> Let's
x > 0, AM/GM theorem gives a minimum when x = 1, f(x) = 8.
16+2= 18
This is what I used to solve the equation
Can we put 4^x=y
Then y+1/y=18
But.in the end we have x≈2.08
How that
If y=4^x then 1/y=1/(4^x)=4^(-x)