# Core 2 Useful Workings For Challenging Questions With Explanations

A quick revision resource I made to help you lot :)

It contains questions from past papers that people may find challenging, with working and explanations at the side :)

Enjoy!

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- Created by: George
- Created on: 14-05-11 18:51

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Mathematics Core 2 Exam Style Questions that are considered challenging

Logarithms

Given that 0 < x < 4 and: log 5 (4 x) 2log 5 (x) = 1, solve for x

Solution

log 5 (4 x) 2log 5 (x) = 1

log 5 (4 x) log 5 (x) 2 = 1

log 5 ((4 x) / x 2) = 1

((4 x) / x 2 = 5 1

5x 2 = 4 x

5x 2 + x 4 = 0

(5x 4)(x + 1) = 0

x = 4 / 5 or 1

Question states that x must be between 0 and 4, so negative 1 is not a solution. Also negative 1

produces a math error

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