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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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Prove that the difference between the squares of any two consecutive integers is equal to the sum of these two integers.

A problem of this nature seems complex at first until you break it down and see what it is really asking you to find. We can represent two consecutive integers as x and x + 1. The problem asks us to prove so...
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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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What is a mutation and how do they affect proteins?

A mutation is a change in the sequence of DNA bases in the genetic code of an organism. They're actually very common, and cause variation in a species. They are random changes, and can sometimes be inherited...
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Answered by Lois F. • Biology tutor
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[In the following extract, I.vii 36 - 59] How does Lady Macbeth use language to manipulate her husband?

In the play, Lady Macbeth is a huge catalyst for Macbeth’s downfall and subsequent evil actions. Her powerful use of persuasive language reveals her as an ambitious character who is motivated by aspirations ...
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Answered by Hope C. • English tutor
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