What is the answer to 64^{x^2}=256^x ?

The answer to 64^{x^2}=256^x is x=0,x= 4/3

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64^{x^2}=256^x

6 4^{x^{2}} = 25 6^{x}

x = 0, x = \frac{4}{3}

Decimal Notation

x = 0, x = 1.33333 \dots

Solution steps

6 4^{x^{2}} = 25 6^{x}

Apply exponent rules

3 x^{2} = 4 x

Solve

3 x^{2} = 4 x : x = 0, x = \frac{4}{3}

x = 0, x = \frac{4}{3}

8 \cdot 3^{n - 1} - 21 = 3

2^{x} = x^{5}

4^{x} - 4^{x - 1} = 3^{x + 1} - 3^{x}

2^{x + 1} + 2^{x + 2} + 2^{x + 3} = 112

4^{2 x + 3} = 5^{x - 2}

What is the answer to 64^{x^2}=256^x ?
The answer to 64^{x^2}=256^x is x=0,x= 4/3
Solve for x: 64^{x^2}=256^x
The solution is x=0,x= 4/3