Indicies

Hi Guys,

Could you please help me answer this question:

a^0.31 = (ab)^c

express c in terms of b?

Any help is greatly appreciated,
Thanks in advance

What chapter of maths is this question in? Because this will normally give you an idea of how to solve it. For example, I straight away thought to use logs, but the title says in indices, and in edexcel maths, these are two different chapters?

Hi Sheldon, sorry this is not in any books. Its one of the problems I'm trying to solve my self to understand indices better.

Could you please give how you would answer this using logs?

Hi Sheldon, sorry this is not in any books. Its one of the problems I'm trying to solve my self to understand indices better.

Could you please give how you would answer this using logs?

I don't think you can rearrange it to find c using only laws of indices, but this is how to do it using the laws of logs. (if you're not familiar with log laws it might be a bit strange)

a^0.31 = (ab)^c
0.31loga = cloga + clogb
c(loga + logb) = 0.31loga
c = (0.31loga)/(loga + logb)

Knowing me, there's probably a silly error in their some where. But I can't think of any other way to solve it anyway!

Hi Guys,

Could you please help me answer this question:

a^0.31 = (ab)^c

express c in terms of b?

Any help is greatly appreciated,
Thanks in advance

But you've still got 'a' in your final line, don't you need to get rid of this so that c is expressed in terms of b?

haha! sorry, I thought it said in terms of a AND b, I'm such an idiot, I thought it seemed to easy.

Hi Sheldon, sorry this is not in any books. Its one of the problems I'm trying to solve my self to understand indices better.

Could you please give how you would answer this using logs?