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Solve the equation 8^(x-1) = 6^(3x) . Express your answer in terms of ln 2 and ln3 .

8(x-1) = 63x

23(x-1) = (2 * 3)3x

23x * 2-3 = 23x * 33x        / : 23x

<...
DG
Answered by David G. Maths tutor
26090 Views

How do I draw and sketch an equation?

Graph sketching can look like an intimidating process at times, but is easily broken down into a collection of fairly easy stages. 

In summary:

Factoris...

BD
Answered by Brad D. Maths tutor
9585 Views

How do you intergrate sin^2(x)?

You have to write it in terms of cos(2x) using the double angle formula. The same applies for intergrating cos^2(x), you again have to write it in terms of cos(2x) using the same double angle formula.<...

JM
Answered by Jennifer M. Maths tutor
6585 Views

How do you factorise and know if it is a difference of two squares ?

1. First you need to learn how to recognise the form:

Difference of two square numbers.  a2 - 36

(a2 is a square number and 36 is also a ...

EL
Answered by Esther L. Maths tutor
4781 Views

How do you 'rationalise the denominator'?

There are two approaches to rationalising a denominator depending on how the denominator appears.

First we deal with the simpler case where the surd term is the only term...

JG
Answered by Jacob G. Maths tutor
7834 Views

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