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How do I solve the following question. 'Find the values of x such that 2log3(x) - log3(x-2) = 2'.

How do I solve the following question. 'Find the values of x such that 2log 3 (x) - log 3 (x-2) = 2'.To simplify this equation in order to solve it, the first step is to simplify the 2log 3 x term. The log r...
LR
Answered by Lauren R. • Maths tutor
17700 Views

Solve algebraically the simultaneous equations x^2 +y^2 = 25, y – 3x = 13

Rearrange y - 3x = 13y = 3x + 13 2. Substitute into x^2 +y^2 = 25x^2 + (3x + 13)^2 = 25 3. Expand bracketx^2 +(9x^2 + 39x +39x +169) = 25 4. Form quadratic equation 10x^2 + 78x + 144 = 0 (Dividing by 2 makes...
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Answered by Emily N. • Maths tutor
5143 Views

There are 5 girls, 6 boys and some adults in a classroom. The probability that a girl is chosen is 1/3. What is the probability of an adult being chosen?

This is a question taken straight out of an Edexcel exam paper. I think it's a good test of GCSE level probability and algebra. We don't know how many adults there are to begin with so let's say n = number o...
JM
Answered by Jack M. • Maths tutor
10220 Views

John is n years old where n is an whole number. Kim is three years younger than John and Vanessa is half of Kim's age. Write an expression for Vanessa's age in terms of n.

Just to make things easier to write I will be using some letters to mean things.I will write:J = John's ageK = Kim's ageV = Vanessa's age.So John is n years old so John's age is n --> J = n. Kim is three ...
JM
Answered by Jack M. • Maths tutor
5262 Views

Express the recurring decimal 0.21313... as a fraction.

x = 0.21313... 10x = 2.1313...1000x = 213.1313...1000x - 10x = 211990x = 211x = 211/990
MZ
Answered by Miranda Z. • Maths tutor
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