#1. show that the given equation has at least one solution on the indicated interval.

tanx=2x^2-1 on (-pi/4,0)

I tried pluggin in -pi/4 and i got pi^2/8... now what?

#2. Find a and b

f(x) = tan(ax) if -pi/2<ax<0, -pi/2<bx<0

4 if x=0

ax+b if x>0

... i dont even know how to begin this one...

#3. exp(log base e 25)

i know that that is e^(log base e 25), but i dont know how to solve it after that...

#4. log base2 (X^(log base2 X))=4

so 16=x^(log base2 X)... but then what do i do?

Thank You,

Diggidy