4 replies to this topic

[Blind]

I am stuck on this question, can anyone shed any light upon it before the exam tomorrow?


Thanks

[Ally]

log_ap=cos²x
log_ar=sin²x

Using log rules:

a^sin2x = r
a^cos2x = p

Multiplying together:

a^cos2x. a^sin2x = pr
a^{cos2x + sin2x} = pr
a¹ = pr

Note: cos²x + sin²x = 1

[Mr H]

log_ap=cos²x

log_ar=sin²x

Using y=log_ax <=> x=a^y:

p=a^cos2x and r=a^sin2x

So pr=(a^cos2x) x (a^sin2x)

Using laws of multiplying indices:

pr=a^{(cos2x + sin2x)}

pr=a¹

pr=a

[Mr H]

GAZUMPED!!!

Shouldn't have gone for a drink mid-post!
(Did get to practice sub and superscripts though!)

[Blind]

Cheers.