# Answer to Question #19831 in Trigonometry for Kate

Question #19831

4^(x^2+4x)=2^-6

Expert's answer

4^(x^2+4x)=2^-6

2^(-6)=4^(-3)

so 4^(x^2+4x)=4^(-3)

then x^2+4x=-3

x1=-1, x2=-3

2^(-6)=4^(-3)

so 4^(x^2+4x)=4^(-3)

then x^2+4x=-3

x1=-1, x2=-3

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