What is the answer to 25^x+25^x= 2/5 ?

The answer to 25^x+25^x= 2/5 is x=-1/2

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25^x+25^x= 2/5

2 5^{x} + 2 5^{x} = \frac{2}{5}

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

2 5^{x} + 2 5^{x} = \frac{2}{5}

Add similar elements:

2 5^{x} + 2 5^{x} = 2 \cdot 2 5^{x}

2 \cdot 2 5^{x} = \frac{2}{5}

Divide both sides by

2

2 5^{x} = \frac{1}{5}

Apply exponent rules

2 x = - 1

Solve

2 x = - 1 : x = - \frac{1}{2}

x = - \frac{1}{2}

25 6^{4 x} = 6 4^{x + 3}

3^{x} = - \frac{2}{3}

4096 = (- 2)^{n}

\frac{4 ^{x - 1}}{2 ^{x + 2}} = 128

2^{x + 5} = 3