What is the answer to 3^{x^2+3x}=3^{x+8} ?

The answer to 3^{x^2+3x}=3^{x+8} is x=2,x=-4

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3^{x^2+3x}=3^{x+8}

3^{x^{2} + 3 x} = 3^{x + 8}

x = 2, x = - 4

Solution steps

3^{x^{2} + 3 x} = 3^{x + 8}

Apply exponent rules

x^{2} + 3 x = x + 8

Solve

x^{2} + 3 x = x + 8 : x = 2, x = - 4

x = 2, x = - 4

60 = 5 e^{2 t}

500 \cdot 5^{\frac{y}{3}} = 1

6^{x} = 1296

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

1 0^{x} = 0.01

What is the answer to 3^{x^2+3x}=3^{x+8} ?
The answer to 3^{x^2+3x}=3^{x+8} is x=2,x=-4
Solve for x: 3^{x^2+3x}=3^{x+8}
The solution is x=2,x=-4