What is the answer to 5*5^{3x}=5^{-2x} ?

The answer to 5*5^{3x}=5^{-2x} is x=-1/5

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5*5^{3x}=5^{-2x}

5 \cdot 5^{3 x} = 5^{- 2 x}

x = - \frac{1}{5}

Decimal Notation

x = - 0.2

Solution steps

5 \cdot 5^{3 x} = 5^{- 2 x}

Apply exponent rules

3 x + 1 = - 2 x

Solve

3 x + 1 = - 2 x : x = - \frac{1}{5}

x = - \frac{1}{5}

5^{2 x + 1} - 26 (5^{x}) + 5 = 0

4^{(3 x - 5)} = 256

t, A = A_{0} e^{k t}

9^{5 x + 7} = \frac{1}{729}

x, 0 = e^{- x}

What is the answer to 5*5^{3x}=5^{-2x} ?
The answer to 5*5^{3x}=5^{-2x} is x=-1/5
Solve for x: 5*5^{3x}=5^{-2x}
The solution is x=-1/5