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Simplify and solve for x. log(x+1)+log 5=2. Note, log is the natural log in this case

so lets deal with 2 first. We can express 2 in terms of log5 by the laws of logs. nlogx=logx^n. re-writing 2 as 2log5=log25 we now have log(x+1)+log5=log25. lets apply a different log law: log(a)-log(b)=l...

LM
Answered by Liam M. Maths tutor
7163 Views

White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the mixture.

First it's importance to clarify what the question is asking: we're looking for the price of 18 litres of paint that is part white paint and part blue paint. One way to answer the question is to understan...

BS
Answered by Babak S. Maths tutor
22830 Views

A circle with equation x^2+y^2-2x+8y-40=0. Find the circle centre and the radius

2g=-2, -g=1. 2f=-8, -f=4. cc(-2,4). r=√(g^2+f^2-c)=√(4+16+40)=√80=4√5

LM
Answered by Liam M. Maths tutor
4561 Views

Integrate ∫x^4+5x^3+sin(2x) dx

∫x^4+5x^3+sin(2x) dx So a basic rule for x functions is that 1. Add 1 to the power 2. divide by the new power. So lets do this for the 2 x terms 1/5x^5+5/4x^4 Now lets look at the sin(2x). A general r...

LM
Answered by Liam M. Maths tutor
6613 Views

A line joins 2 points (2,9) and (5,4). Calculate the gradient of the straight line and then write down the equation of the straight line.

The first thing to do is to look at the points given and decide if you are going to get a negative or positive gradient. We can determine, from inspection that the gradient will be negative because as the...

LM
Answered by Liam M. Maths tutor
5279 Views

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