What is the answer to 4^{x^2-6x}=16384 ?

The answer to 4^{x^2-6x}=16384 is x=7,x=-1

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4^{x^2-6x}=16384

4^{x^{2} - 6 x} = 16384

x = 7, x = - 1

Solution steps

4^{x^{2} - 6 x} = 16384

Apply exponent rules

x^{2} - 6 x = 7

Solve

x^{2} - 6 x = 7 : x = 7, x = - 1

x = 7, x = - 1

4^{x^{2}} = 2^{x}

n, (x^{3})^{3} = x^{n}

e^{7 x} = 3^{4 x - 1}

\frac{5 ^{x} - 5 ^{- x}}{2} = 3

2 (3^{x}) = 5

What is the answer to 4^{x^2-6x}=16384 ?
The answer to 4^{x^2-6x}=16384 is x=7,x=-1
Solve for x: 4^{x^2-6x}=16384
The solution is x=7,x=-1