What is the answer to 3^{2x+3}=sqrt(243) ?

The answer to 3^{2x+3}=sqrt(243) is x=-1/4

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3^{2x+3}=sqrt(243)

3^{2 x + 3} = 243

x = - \frac{1}{4}

Solution steps

3^{2 x + 3} = 243

Apply exponent rules

2 x + 3 = \frac{5}{2}

Solve

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

x = - \frac{1}{4}

x, 4^{x} + 5^{y} = 21

m, x^{m - 1} = 0

7^{x - 3} \cdot 98 = 14

e^{y} = 11

e^{y} = 12

What is the answer to 3^{2x+3}=sqrt(243) ?
The answer to 3^{2x+3}=sqrt(243) is x=-1/4
Solve for x: 3^{2x+3}=sqrt(243)
The solution is x=-1/4