faithschuck
faithschuck
21-07-2016
Mathematics
contestada
Solve and check....9^x = 3^x - 2
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apologiabiology
apologiabiology
21-07-2016
remember that
logₐx=y means a^y=x
also
if a^n=a^m where a=a, then n=m
try to match bases
remember that 9=3^2
9^x=3^(2x)
3^(2x)=3^(x-2)
2x=x-2
minus x from both sides
x=-2
x=-2
to check
9^-2=3^(-2-2)
1/(9^2)=3^(-4)
1/81=1/(3^4)
1/81=1/81
true
x=-2
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