Search 72,563 tutors
FIND TUTORS
Ask a question
0 0

is the function below exponential?

Tutors, please sign in to answer this question.

1 Answer

3x ⁄ √(3·6x)
= 3x ⁄√3 √(6x)
= 1⁄√3 · 3x/√(6x)
= 1⁄√3 · √(32x)/√(6x)
= 1⁄√3 · √(32x)/√(6x)
= 1⁄√3 · √(32x/6x)
= 1⁄√3 · √(32x/(3·2)x)
= 1⁄√3 · √(32x/(3x·2x))
= 1⁄√3 · √(3x/2x)
= 1⁄√3 · √[(3/2)x] = 1⁄√3 · ((3/2)x)0.5 = 1⁄√3 · ((3/2)0.5)x
= 1⁄√3 · (√(3/2))x
 
so a = 1⁄√3 = √(3)/3
and b = √(3/2)
 
It's tough handling complex square roots with this text formatter. To keep it cleaner, that's why I used a fractional exponent in the next to last step.