Answer:
The inverse for log₂(x) + 2 is - log₂x + 2.
Step-by-step explanation:
Given that
f(x) = log₂(x) + 2
Now to find the inverse of any function we put we replace x by 1/x.
f(x) = log₂(x) + 2
f(1/x) =g(x)= log₂(1/x) + 2
As we know that
log₂(a/b) = log₂a - log₂b
g(x) = log₂1 - log₂x + 2
We know that log₂1 = 0
g(x) = 0 - log₂x + 2
g(x) = - log₂x + 2
So the inverse for log₂(x) + 2 is - log₂x + 2.
Given Equations
- 5x+3y=8--(1)
- 4x+7y=34--(2)
Let it has solution (x,y)
Add both


It will also have same solution (x,y)
We know in these kind of triangles that have a 90 degrees angle, we can do:

so the first question:

and then:

so , when you want to rationalize , usually you must multiply the irrational factor as 1:

so , now multiply:

in the next question,we know negative numbers in radical don't have any solution so 2 is correct,
Answer:
18
Step-by-step explanation:
3z + 4z +4 -2 -5z
Combine like terms
3z + 4z -5z +4-2
2z+2
Let z=8
2*8 +2
16+2
18
Answer:
x = 1
Step-by-step explanation:
Given exponential equation:

Add 9 to both sides of the equation:








