What is the answer to 5^{5x+2}=125^{4-2x} ?

The answer to 5^{5x+2}=125^{4-2x} is x= 10/11

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5^{5x+2}=125^{4-2x}

5^{5 x + 2} = 12 5^{4 - 2 x}

x = \frac{10}{11}

Decimal Notation

x = 0.90909 \dots

Solution steps

5^{5 x + 2} = 12 5^{4 - 2 x}

Apply exponent rules

5 x + 2 = 3 (4 - 2 x)

Solve

5 x + 2 = 3 (4 - 2 x) : x = \frac{10}{11}

x = \frac{10}{11}

4 \times 2^{x} = 1

- 8 \cdot 1 0^{p + 7} - 7 = - 24

- 1 (1 - 2^{x}) = 2180

2^{3 x - 1} = 2 \cdot 3^{2 - 3 x}

6 e^{1 - x} = 25

What is the answer to 5^{5x+2}=125^{4-2x} ?
The answer to 5^{5x+2}=125^{4-2x} is x= 10/11
Solve for x: 5^{5x+2}=125^{4-2x}
The solution is x= 10/11