What is the answer to ((1/5)^{3x})/(25^{2+x)}=5 ?

The answer to ((1/5)^{3x})/(25^{2+x)}=5 is x=-1

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((1/5)^{3x})/(25^{2+x)}=5

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

x = - 1

Solution steps

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

Apply exponent rules

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

Solve

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

x = - 1

Verify Solutions:

x = - 1

True

The solution is

x = - 1

e^{2 x + 5} = 8

3^{x - 5} = 64 \cdot 4^{x}

2^{x} + 2^{x + 3} = 36

2^{x^{2}} \times 4^{x} \times 2 = 4

\frac{500}{100 - e ^{\frac{x}{2}}} = 20

What is the answer to ((1/5)^{3x})/(25^{2+x)}=5 ?
The answer to ((1/5)^{3x})/(25^{2+x)}=5 is x=-1
Solve for x: ((1/5)^{3x})/(25^{2+x)}=5
The solution is x=-1