What is the answer to 256^{3x+3}=1024^{2x+2} ?

The answer to 256^{3x+3}=1024^{2x+2} is x=-1

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256^{3x+3}=1024^{2x+2}

25 6^{3 x + 3} = 102 4^{2 x + 2}

x = - 1

Solution steps

25 6^{3 x + 3} = 102 4^{2 x + 2}

Apply exponent rules

4 (3 x + 3) = 5 (2 x + 2)

Solve

4 (3 x + 3) = 5 (2 x + 2) : x = - 1

x = - 1

216 = 6^{2 r - 11}

2^{x - x^{2}} = \frac{1}{4 ^{x}}

62 5^{x} = \frac{1}{5}

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

2 5^{v - 2} = 625

What is the answer to 256^{3x+3}=1024^{2x+2} ?
The answer to 256^{3x+3}=1024^{2x+2} is x=-1
Solve for x: 256^{3x+3}=1024^{2x+2}
The solution is x=-1