What is the answer to 1/125 =25^{x+5} ?

The answer to 1/125 =25^{x+5} is x=-13/2

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1/125 =25^{x+5}

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

x = - \frac{13}{2}

Decimal Notation

x = - 6.5

Solution steps

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

Apply exponent rules

- 3 = 2 (x + 5)

Solve

- 3 = 2 (x + 5) : x = - \frac{13}{2}

x = - \frac{13}{2}

6^{8 x + 5} = 5^{x - 3}

7^{2 x - 3} = 21

5^{x - 3} = 25

3^{x + 2} + 9^{x - 1} = 90

7^{2 x + 3} + 42 \times 7^{x} - 1 = 0

What is the answer to 1/125 =25^{x+5} ?
The answer to 1/125 =25^{x+5} is x=-13/2
Solve for x: 1/125 =25^{x+5}
The solution is x=-13/2