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Find the positive value of x such that log (x) 64 = 2

Find the positive value of x such that log x 64 = 2 Using the logarithm rules, we know that we can rearrange the given equation into the form: x 2 = 64 Knowing this, we square root both sides to get x = 8, x...
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Answered by Santiago G. • Maths tutor
19581 Views

Show that the equation 5sin(x) = 1 + 2 [cos(x)]^2 can be written in the form 2[sin(x)]^2 + 5 sin(x)-3=0

First, we need to realise that we will be using the trigonometric identity sin(x) 2 + cos(x) 2 = 1 As our goal is to end up with an equation involving only sin, we will therefore substitue cos(x) 2 with ( 1 ...
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Answered by Santiago G. • Maths tutor
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I'm most worried about how to approach multiple choice questions - do you have any tips or general techniques?

First advice I have for you - don't panic! As soon as you enter the room panicking, you will lose control of timing, won't pay as much attention to the wording of the passages, and will ultimately not get as...
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Answered by Natasha B. • LNAT tutor
10142 Views

Calculate the frequency of a simple pendulum of length 950 mm. Give answer to an appropriate number of significant figures.

Firstly, we remember that frequency is the reciprocal of the time period. The formula for the time period of a simple pendulum is T=2π*sqrt(l/g) Secondly, we identify each part of the equation. We recall tha...
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Answered by Theodore S. • Physics tutor
7012 Views

How should I write the definitions of the different elasticities in an exam?

The first thing you should do is determine which elasticity you are being asked. There are four different types of elasticities: 1. PED = Price Elasticity of Demand 2. YED = Income Elasticity of Demand 3. XE...
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Answered by Naana O. • Economics tutor
4310 Views