What is the answer to 2.5^{3x+2}=0.4^{1-2x} ?

The answer to 2.5^{3x+2}=0.4^{1-2x} is x=-3

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2.5^{3x+2}=0.4^{1-2x}

2. 5^{3 x + 2} = 0. 4^{1 - 2 x}

x = - 3

Solution steps

2. 5^{3 x + 2} = 0. 4^{1 - 2 x}

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

Apply exponent rules

3 x + 2 = - (1 - 2 x)

Solve

3 x + 2 = - (1 - 2 x) : x = - 3

x = - 3

4^{2 x - 3} + 1 6^{x - 1} = \frac{5}{64}

5^{2 x} - 26 (5^{x}) + 25 = 0

4^{x + 7} = 256

2 (3^{2 x}) + 3^{x} - 15 = 0

7^{3 x} = 4 9^{x + 3}

What is the answer to 2.5^{3x+2}=0.4^{1-2x} ?
The answer to 2.5^{3x+2}=0.4^{1-2x} is x=-3
Solve for x: 2.5^{3x+2}=0.4^{1-2x}
The solution is x=-3