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Solve 4log₂(2)+log₂(x)=3

First, we should look at the laws of logarithms.log a x+log a y=log a xylog a x-log a y=log a (x/y)klog a x=log a x k We can see that laws 1 and 3 might be helpful, so we simplify our equation.log 2 2 4 +log...
Answered by • Maths tutor
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How do I understand the French in listening exams when they speak so much more quickly than GCSE?

As fast as they sound, there is a simple solution when it comes to Listening exams. The more you listen to spoken French, the more familiar you get with it and the more at ease you are with the speed. It is ...
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Answered by Alexandra W. • French tutor
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EXPLORE ONE LIVE PERFORMANCE YOU HAVE SEEN, FOCUSSING ON THE PEFORMERS USE OF PHYSICALITY TO COMMUNICATE INTENTION

(this would usually be an hour long essay question therefore for these purposes I shall focus on 2 points rather than the 5 I would usually recommend students to write using the VSPFG (voice, space, posture,...
Answered by • Drama tutor
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Differentiate y=x^x with respect to x.

y=x^x, taking natural log of both sides ln(y)=ln(x^x), using laws of logs ln(y)=xln(x), using product rule and implicit differentiation dy/dx 1/y=ln(x)+1 dy/dx=(ln(x)+1)y dy/dx=(ln(x)+1)x^x
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Explain the concept of internal economies of scale and the three stages of returns that can occur when firms increase their factors of production? Graphs maybe used in your answer

Internal economies of scale are centred around the relationship of a firm increasing its factors of production ie. its inputs and how this affects the average cost of producing goods. The general concept is ...
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Answered by Colm K. • Economics tutor
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