What is the answer to 625*5^{3x+3}=125 ?

The answer to 625*5^{3x+3}=125 is x=-4/3

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625*5^{3x+3}=125

625 \cdot 5^{3 x + 3} = 125

x = - \frac{4}{3}

Decimal Notation

x = - 1.33333 \dots

Solution steps

625 \cdot 5^{3 x + 3} = 125

Divide both sides by

625

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

Apply exponent rules

3 x + 3 = - 1

Solve

3 x + 3 = - 1 : x = - \frac{4}{3}

x = - \frac{4}{3}

e^{\frac{x}{4}} = 7

1 0^{x + 3} = 5 e^{7 - x}

15 \cdot 5^{n} = 53 \cdot 2^{n}

a^{x} = b

1 6^{3 x - 1} = 8^{x + 2}

What is the answer to 625*5^{3x+3}=125 ?
The answer to 625*5^{3x+3}=125 is x=-4/3
Solve for x: 625*5^{3x+3}=125
The solution is x=-4/3