What is the answer to 3^{x^2}*3^{5x}=729 ?

The answer to 3^{x^2}*3^{5x}=729 is x=1,x=-6

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3^{x^2}*3^{5x}=729

3^{x^{2}} \cdot 3^{5 x} = 729

x = 1, x = - 6

Solution steps

3^{x^{2}} \cdot 3^{5 x} = 729

Apply exponent rules

x^{2} + 5 x = 6

Solve

x^{2} + 5 x = 6 : x = 1, x = - 6

x = 1, x = - 6

2 7^{\frac{2}{5}} = 3^{x}

4^{x^{3}} = 2^{54}

3^{x + 1} + 4 = 8

e^{2} x - 4 e^{x} - 5 = 0

n, 4^{n + 1} = 8^{n - 2}

What is the answer to 3^{x^2}*3^{5x}=729 ?
The answer to 3^{x^2}*3^{5x}=729 is x=1,x=-6
Solve for x: 3^{x^2}*3^{5x}=729
The solution is x=1,x=-6