Infinitely many solutions means that you have the same thing on both sides of the equation no matter what value of x you plug in, right?
We just need both sides to be 3x then, correct?
If a were equal to 3 and b were equal to 0, we'd have
3x = (3)x + 0
Which is essentially 3x = 3x
So that means a = 3 and b = 0 must work!
Let's say x = 5
3(5) = 3(5) + 0
15 = 15 + 0
15 = 15
That means that a = 3 and b = 0 is your final answer :)
Answer:
The answer is "The discriminant is positive"
Step-by-step explanation:
When the discriminant is positive there is two real solutions.
When the discriminant is equal to 0, there is one real solution.
When the discriminant is negative, there is no real number solutions.
To calculate the sine of an angle, simply divide the length of the opposite side, 479.16, by the length of the hypotenuse, 610. To get the cosine, divide the length of the adjacent side, 377.5, by the length of the hypotenuse, 610.
We have the following functions:
log2x=5
log10x=3
log4x=2
log3x=1
log5x=4
Let's rewrite each function to solve for x:
x=2^5=32
x=10^3=1000
x=4^2=16
x=3^1=3
x=5^4=625
Answer:
Matching each function with the solution we have:
log2x=5 ----------->32
log10x=3---------->1000
log4x=2------------>16
log5x=4------------>625