What is the answer to 25^{x+3}=625^{4x-1} ?

The answer to 25^{x+3}=625^{4x-1} is x= 5/7

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25^{x+3}=625^{4x-1}

2 5^{x + 3} = 62 5^{4 x - 1}

x = \frac{5}{7}

Decimal Notation

x = 0.71428 \dots

Solution steps

2 5^{x + 3} = 62 5^{4 x - 1}

Apply exponent rules

x + 3 = 2 (4 x - 1)

Solve

x + 3 = 2 (4 x - 1) : x = \frac{5}{7}

x = \frac{5}{7}

4^{x + 1} - 7 \cdot 2^{x} = 2

e^{x} = \frac{3}{3 - x}

4 (3)^{x} = 7 (5)^{x}

2 e^{2 x} + e^{x} - 6 = 0

8^{2 + x^{2}} = 1 0^{2}

What is the answer to 25^{x+3}=625^{4x-1} ?
The answer to 25^{x+3}=625^{4x-1} is x= 5/7
Solve for x: 25^{x+3}=625^{4x-1}
The solution is x= 5/7