What is the answer to (1/125)^{3x-2}=625 ?

The answer to (1/125)^{3x-2}=625 is x= 2/9

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(1/125)^{3x-2}=625

(\frac{1}{125})^{3 x - 2} = 625

x = \frac{2}{9}

Decimal Notation

x = 0.22222 \dots

Solution steps

(\frac{1}{125})^{3 x - 2} = 625

Apply exponent rules

- 3 (3 x - 2) = 4

Solve

- 3 (3 x - 2) = 4 : x = \frac{2}{9}

x = \frac{2}{9}

e^{(l n (0.3)) t} = 0.6

2^{2 x} - 20 (2^{x}) + 64 = 0

2 = e^{9 x}

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

e^{x} - 8 = 51

What is the answer to (1/125)^{3x-2}=625 ?
The answer to (1/125)^{3x-2}=625 is x= 2/9
Solve for x: (1/125)^{3x-2}=625
The solution is x= 2/9