What is the answer to (1/25)^3x=5^2x-16 ?

The answer to (1/25)^3x=5^2x-16 is x= 15625/24414

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(1/25)^3x=5^2x-16

(\frac{1}{25})^{3} x = 5^{2} x - 16

x = \frac{15625}{24414}

Decimal Notation

x = 0.64000 \dots

Solution steps

(\frac{1}{25})^{3} x = 5^{2} x - 16

5^{2} = 25

(\frac{1}{25})^{3} x = 25 x - 16

Expand

(\frac{1}{25})^{3} x : \frac{1}{15625} x

\frac{1}{15625} x = 25 x - 16

Move

25 x

to the left side

- \frac{390624}{15625} x = - 16

Multiply both sides by

15625

- 390624 x = - 250000

Divide both sides by

- 390624

x = \frac{15625}{24414}

(x - 2)^{2} = (x - 4) (x + 4)

x, (y + 4) = - 3 (x - 3)

\frac{1}{2} a + b + 2 x = \frac{1}{2} a + \frac{1}{b} + \frac{1}{2} x

2 \frac{x}{3} - \frac{8}{3} = \frac{17}{6}

f = \frac{1}{3} (- 5) \frac{\frac{31}{17}}{2} (- 5)

What is the answer to (1/25)^3x=5^2x-16 ?
The answer to (1/25)^3x=5^2x-16 is x= 15625/24414
Solve for x: (1/25)^3x=5^2x-16
The solution is x= 15625/24414