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

The answer to (1/5)^{2-3x}=25 is x= 4/3

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

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

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

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

Apply exponent rules

- (2 - 3 x) = 2

Solve

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

x = \frac{4}{3}

e^{8 x + 4} = 11 e^{3 x}

6^{x + 2} = \frac{1}{3 ^{x}}

3^{2 x - 2} + 7 = 4 (3^{x - 1} + 1)

y, 17 y e^{- x^{2} - y^{2}} - 34 x^{2} y e^{- x^{2} - y^{2}} = 0

2^{x + 6} = 2^{5}