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Indices C1 Algebra NEED HELP!!!!

2^1-x = 4^x
Find x

If you could give an explanation that would be helpful? xx
Thank you in advance :smile:
on a question like this u need to see that 4 can be written as 2 squared
so 4^x can be written as (2^2)^x
using bracket indicie rules that becomes 2^2x
so if 2 to the power of 1-x = 2 to the power 2x
then the powers are equal hence 1-x=2x
solve for x

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