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5^x-3=7^2x+1

log₅5^x-3=log₅7^2x+1

x-3=(2x+1)log₅7

x-2xlog₅7=3+log₅7

x(1-2...

Take this problem as an example: 

5 white socks and 3 black socks are in a drawer. Stefan takes out two socks at random. Work out the probability that Stefan takes out two socks of the same co...

First, we need to rearrange the equation into a quadratic. A quadratic equation will always have a squared element. 

To this, we move everything over to the left hand side of the equation and ...

Question: 

Expand (2x-3)(4x+4) 

We will be using the FOIL method. FOIL is an ancronym: 

F=first

O=outside

I=inside

L=last

So, to begin, we start...

Firstly put the equation into the the form (x+a)(x+b) this will make things easier later on.

Therefore, an equation such as (x+1)² would become (x+1)(x+1)

Next expand the br...