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C2 Solomon Paper D watch

1. Stuck on question 5Bii? any help would be appreciated and I don't understand the mark scheme..

Paper: https://b940eb267c31463d4d23ccfd3105...%20Edexcel.pdf

Mark scheme:
https://b940eb267c31463d4d23ccfd3105...%20Edexcel.pdf
2. (Original post by Christina1999H)
Stuck on question 5Bii? any help would be appreciated and I don't understand the mark scheme..

Paper: https://b940eb267c31463d4d23ccfd3105...%20Edexcel.pdf

Mark scheme:
https://b940eb267c31463d4d23ccfd3105...%20Edexcel.pdf
Set 5^(x-1) = 2^x

Take logs
(x-1)log 5 = x log 2

Expand brackets on rhs
xlog5 -log 5 = xlog2

Sort terms in x onto one side of equation
xlog5 - xlog 2 = log 5

Take x outside of brackets
x (log5-log2) = log 5

x=log5/(log5-log2)
3. Ah thank you so much! Don't know how I didn't spot that

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