Quick Log Questions

what happened to the -2 going to 2 in the exponent?

does $b^2 - 4ac$ mean anything to you?

Yes, I realise there would be two imaginary roots however I find that unlikely as it's a different maths module. Is all of my workings above correct? If they are then I can confidently answer with the imaginary roots.

Thanks a lot for your help btw

3. 3sin^3 x-5sin^2 x-6sinx+8
for this question I've already done part be, where I expressed 3s^3-5s^2-6s+8 as (s-1)(s-2)(3s+4) and solved to s=1, s=2 and s=-4/3.
However, I don't understand how this will help me solve this part.

Any help with any of the above is greatly appreciated.

Your working is correct, I don't understand why just because complex numbers are a different unit they shouldn't come up in another?

When I was in sixth form I had a page with all the trig identities on them from the standard ones to more complicated ones. If I were you I would make one too and then these questions should be straightforward.

Because most students completing C3 will not be doing FP1

Or save a lot of hassle and remember them perhaps?

You can do A level maths without ever being introduced to complex numbers? That's just lame.

ok

You don't think students embarking on maths at sixth form should be made aware of the cool thing that imaginary numbers are?

Sure

But I spent the first dozen years of my teaching careers re-writing the scheme of work for A Level, year on year removing more and more content

It is not about what I think is ok

It is about the reality

Question 2logx=log(x-1)+log3

So using the laws of log, I rearranged to:

logx^2=log((x-1)3)

therefore

x^2 = 3x-3
x^2 -3x+3=0

However there are no real answers? Is this correct?

Thank you.

Sure

But I spent the first dozen years of my teaching careers re-writing the scheme of work for A Level, year on year removing more and more content

It is not about what I think is ok

It is about the reality

Ah! Perhaps this brings back some good memories TenofThem...

Cambridge_GCE_Mathematics_1960.pdf

Some real beasts on there!

What does that mean exactly?

And you sound really, well bitter may be strong word, but disillusioned(?) by the system?