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Use logarithms to solve 9^x=15

According to the rules of logarithms, when you take a log of something to the power of something, you multiply the log of the base by the power, so in this case, taking logs of both sides would give us xlog9...
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Answered by Molly B. Maths tutor
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Solve 7(k-3)=3k-5

First we need to multiply out the bracket 7k-21=3k-5 Then we must make sure our variable is only on one side so we need to deduct 3k from both sides 4k-21=-5 Now we should isolate our variable so add 21 to b...
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Answered by Molly B. Maths tutor
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Solve the inequality 6y+5>8?

First think how you would solve this if it was simply an '=' sign instead of a > Deduct 5 from both sides This would give us 6y>3 Divide both sides by 6 Think: because this is an inequality, is the val...
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Answered by Molly B. Maths tutor
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Solve the equations giving your answer in 2d.p (5 Marks).: x^2 + y^2 = 36 , x = 2y + 6

x 2 + y 2 = 36 (1) x = 2y + 6 (2) You can solve simulateous equations in three ways: Substitution, addition or subtraction. If one equation contains both x 2 and y 2 then you should use substitution as with ...
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Answered by Joseph P. Maths tutor
15531 Views

Take the square root of 2i

As with much of complex number the trick here is to change forms to polar representation.If you think of an argand diagram the number i will be represented as a point straight up on the imaginary axis a dist...
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Answered by Simon T. Maths tutor
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