exam Maths Puzzle Numerical Ability

I am not able to figure these out.

1.) 2logm^a-3logm^b2

2.) ln2x+ln3x

3.)logx+log(3x-13)=1

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exam Other Question

Can someone help me solve this problem?

How do I write up this as an equation?

What is the product of three times the difference of a number subtracted from 7 that equals the nmber plus five?

Thanks,
Lyn decompose into a partial fraction

3x^2+15x+8/(x+1)(x+2)(x-3)