What is the answer to 4^{x^2}=16^{5x-8} ?

The answer to 4^{x^2}=16^{5x-8} is x=8,x=2

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4^{x^2}=16^{5x-8}

4^{x^{2}} = 1 6^{5 x - 8}

x = 8, x = 2

Solution steps

4^{x^{2}} = 1 6^{5 x - 8}

Apply exponent rules

x^{2} = 2 (5 x - 8)

Solve

x^{2} = 2 (5 x - 8) : x = 8, x = 2

x = 8, x = 2

1 6^{x} - 5 (2^{2 x - 1}) + 1 = 0

2 x^{2} e^{2 x} + 2 x e^{2 x} = 0

q, r^{q} = t^{s}

e^{l n (5 x)} = 2

e^{x} = 10000

What is the answer to 4^{x^2}=16^{5x-8} ?
The answer to 4^{x^2}=16^{5x-8} is x=8,x=2
Solve for x: 4^{x^2}=16^{5x-8}
The solution is x=8,x=2