What is the answer to (0.25)^{(x-3)}=2^{(x+8)} ?

The answer to (0.25)^{(x-3)}=2^{(x+8)} is x=-2/3

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(0.25)^{(x-3)}=2^{(x+8)}

(0.25)^{(x - 3)} = 2^{(x + 8)}

x = - \frac{2}{3}

Decimal Notation

x = - 0.66666 \dots

Solution steps

(0.25)^{(x - 3)} = 2^{(x + 8)}

(\frac{1}{4})^{x - 3} = 2^{x + 8}

Apply exponent rules

- 2 (x - 3) = x + 8

Solve

- 2 (x - 3) = x + 8 : x = - \frac{2}{3}

x = - \frac{2}{3}

y, 7^{2 y} = 3^{4}

2^{20 x + 10} = 3 2^{4 x + 2}

e^{2 l n (x)} = 196

2^{x + 1} + 2^{2 x} = 288

9^{2 x} - 3^{1 + 2 x} + 2 = 0

What is the answer to (0.25)^{(x-3)}=2^{(x+8)} ?
The answer to (0.25)^{(x-3)}=2^{(x+8)} is x=-2/3
Solve for x: (0.25)^{(x-3)}=2^{(x+8)}
The solution is x=-2/3