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First, we take logs of both sides: log(5^(2x+1))=log(7) Now, using the 3rd law of logs (index rule; using the power as the coefficient), we get: (2x+1)log(5)=log(7) i.e. 2x+1 = (log(7))/(log(5)) = 1.20906...

This can be proven by understanding tan(x) and it's inverse as functions, using implicit differentiation, subsitution and by recognising trigonometric identities (or being able to prove them from first pr...

One of the main things to remember when it comes to an A Level English Language essay is that you have a completely different aim to when you are writing an English Literature essay. Whilst during Lit ess...

Since we are neglecting air resistance the energy of the ball is conserved. We set the gravitational potential energy to be U=0 at h=0. Applying conservation of energy at h=0 and h=h_max , we ge...

The ketone group is planar and the cyanide ion has equal chance of attacking above or below the plane. Therefore a racemic mixture of the product is formed and the product shows no optical activity