Given that and , express the following in terms of and

(ii)

My attempt:

=

=

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- Apr 17th 2010, 08:39 PMPunchLogarithms
Given that and , express the following in terms of and

(ii)

My attempt:

=

= - Apr 17th 2010, 08:48 PMBacterius
Why do you make it so complicated ?

- Apr 17th 2010, 08:54 PMTKHunny
- Apr 17th 2010, 08:56 PMsa-ri-ga-ma
You need not convert in to index form. Using the laws of logarithm you can simplify.

*********** - Apr 17th 2010, 09:01 PMPunch
Sorry but there was a typo error on the question i typed...

it should be

Given that and , express the following in terms of and

(ii) - Apr 17th 2010, 09:16 PMBacterius

Does it make sense ? - Apr 17th 2010, 09:30 PMSoroban
Hello, Punch!

Quote:

Given that: . .[1]

express the following in terms of

. .

Let: . .[2]

Then: .

Take logs (base 2): .

. . . . . . . . . . . . . .

. . . . . . . .

. . . . . . . . . . .

Multiply by 2: .

. . . . . . . . . . . . . . . . . . . .[3]

Equate [2] and [3]: .

. . . Substitute [1]: .

- Apr 17th 2010, 09:31 PMsa-ri-ga-ma