What is the answer to 5^{x-2}-5^x=-24/125 ?

The answer to 5^{x-2}-5^x=-24/125 is x=-1

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5^{x-2}-5^x=-24/125

5^{x - 2} - 5^{x} = - \frac{24}{125}

x = - 1

Solution steps

5^{x - 2} - 5^{x} = - \frac{24}{125}

Factor

5^{x - 2} - 5^{x} : - 24 \cdot 5^{x - 2}

- 24 \cdot 5^{x - 2} = - \frac{24}{125}

Divide both sides by

- 24

5^{x - 2} = \frac{1}{125}

Apply exponent rules

x - 2 = - 3

Solve

x - 2 = - 3 : x = - 1

x = - 1

ln (1 + 2^{x}) = 2

1 0^{a} = 36.9

3^{x} \cdot 4^{x} = 14 4^{x - 2}

x, e^{x^{2} + x + I n (4)} = 4

150 = 350 - 335 e^{15 x}

What is the answer to 5^{x-2}-5^x=-24/125 ?
The answer to 5^{x-2}-5^x=-24/125 is x=-1
Solve for x: 5^{x-2}-5^x=-24/125
The solution is x=-1