What is the answer to 9^{x+3}=243^{3-x} ?

The answer to 9^{x+3}=243^{3-x} is x= 9/7

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9^{x+3}=243^{3-x}

9^{x + 3} = 24 3^{3 - x}

x = \frac{9}{7}

Decimal Notation

x = 1.28571 \dots

Solution steps

9^{x + 3} = 24 3^{3 - x}

Apply exponent rules

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

Solve

2 (x + 3) = 5 (3 - x) : x = \frac{9}{7}

x = \frac{9}{7}

4 e^{x} = 18

5^{2 x - 1} = 2 (3^{x})

3^{2 x} + 9^{x} = 162

e^{3 x} = 8

2 \cdot 2^{x} = \frac{2 ^{3 x}}{32}

What is the answer to 9^{x+3}=243^{3-x} ?
The answer to 9^{x+3}=243^{3-x} is x= 9/7
Solve for x: 9^{x+3}=243^{3-x}
The solution is x= 9/7