sarahjshrader sarahjshrader

05-04-2016
Mathematics

Answered

Can someone explain how to find the answer to this equation in steps?

2^2x = 8^x-1

Verified Answer :

apologiabiology apologiabiology

05-04-2016

remember
\((x^{m})^{n}=x^{mn}\)
and
if a^x=a^y where a=a, then x=y so
make bases the same

2^(2x)=8^(x-1)
8=2^3
8^(x-1)=(2^3)^(x-1)=2^(3(x-1))
2^(2x)=2^(3(x-1))
threfor
2x=3(x-1)
2x=3x-3
0=x-3
3=x

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