What is the answer to 8^x*4^{x^2-6}=4 ?

The answer to 8^x*4^{x^2-6}=4 is x=2,x=-7/2

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8^x*4^{x^2-6}=4

8^{x} \cdot 4^{x^{2} - 6} = 4

x = 2, x = - \frac{7}{2}

Decimal Notation

x = 2, x = - 3.5

Solution steps

8^{x} \cdot 4^{x^{2} - 6} = 4

Apply exponent rules

3 x + 2 (x^{2} - 6) = 2

Solve

3 x + 2 (x^{2} - 6) = 2 : x = 2, x = - \frac{7}{2}

x = 2, x = - \frac{7}{2}

\frac{50}{4 + e ^{2 x}} = 11

5^{x^{2} - 2 x - 8} = 1

2^{x} = 2

4 (1 + 1 0^{5 x}) = 9

e^{- x} = 1

What is the answer to 8^x*4^{x^2-6}=4 ?
The answer to 8^x*4^{x^2-6}=4 is x=2,x=-7/2
Solve for x: 8^x*4^{x^2-6}=4
The solution is x=2,x=-7/2