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

The answer to 5^{2x+5}= 1/(5^{3-x)} is x=-8

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

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

x = - 8

Solution steps

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

Apply exponent rules

2 x + 5 = - 3 + x

Solve

2 x + 5 = - 3 + x : x = - 8

x = - 8

Verify Solutions:

x = - 8

True

The solution is

x = - 8

- 14 (1 - 2^{x}) = 117638

t, x = e^{3 t}

500 = (30 e^{t})

4^{3 x} + 8^{x} - 6 = 0

3^{2 x} + 2 \cdot 3^{x} = 3

What is the answer to 5^{2x+5}= 1/(5^{3-x)} ?
The answer to 5^{2x+5}= 1/(5^{3-x)} is x=-8
Solve for x: 5^{2x+5}= 1/(5^{3-x)}
The solution is x=-8