What is the answer to 3^{x+3}=27^{x-2} ?

The answer to 3^{x+3}=27^{x-2} is x= 9/2

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3^{x+3}=27^{x-2}

3^{x + 3} = 2 7^{x - 2}

x = \frac{9}{2}

Decimal Notation

x = 4.5

Solution steps

3^{x + 3} = 2 7^{x - 2}

Apply exponent rules

x + 3 = 3 (x - 2)

Solve

x + 3 = 3 (x - 2) : x = \frac{9}{2}

x = \frac{9}{2}

e^{x} = e^{3 x + 18}

1 6^{x} - 11 \cdot 4^{x} - 80 = 0

24 3^{x} = 27

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

2^{x + 1} = 10

What is the answer to 3^{x+3}=27^{x-2} ?
The answer to 3^{x+3}=27^{x-2} is x= 9/2
Solve for x: 3^{x+3}=27^{x-2}
The solution is x= 9/2