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Solve the equation 2ln2x = 1 + ln3. Give your answer correct to 2dp.

LHS: because alnx = lnx a , 2ln2x = ln(2x) 2 = ln4x 2 Now, because ln and e are inverse functions, we take both sides to the power of e. Therefore: e ln4x^2 = e 1 + ln3 4x 2 = e 1 + ln3 x 2 = (e 1 + ln3 ) / ...
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Answered by Shiv S. • Maths tutor
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The number of uniform spherical balls that can be produced from a given mass of lead is inversely proportional to the radius of the ball cubed. If 2744 balls can be made when the radius is 1mm, how many balls can be made when the radius is 1.4mm ?

So first we need to write down the proportionality relationship the question states. If we let n be the number of balls and r be the radius of the balls we can say n (proportional symbol) 1/r 3 . We can turn...
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Answered by Tabraiz C. • Maths tutor
3632 Views

How should you approach unseen poetry?

As with any exam task, you should balance using your own ideas to engage critically with the text with, maintaining a strong focus on the requirements of the question. Before you start, ensure that you have ...
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What is Newton's Third Law and what is an example of it?

Newton's Third Law looks at what happens when two objects interact with each other. The definition of Newton's Third Law is, "When one body exerts a force on a second body, the second body simultaneousl...
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Answered by Maxwell O. • Physics tutor
6788 Views

What is homeostasis and explain two ways in which the human body is able to reduce its temperature when it is too hot as an example of homeostasis.

Homeostasis is defined as a process to maintain a constant internal environment. There are multiple ways in which the body is able to maintain a constant internal temperature such as; 1. Sweating ; there are...
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Answered by Amelia P. • Biology tutor
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