What is the answer to 216^{3x}*216^x=36^{3x+2} ?

The answer to 216^{3x}*216^x=36^{3x+2} is x= 2/3

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216^{3x}*216^x=36^{3x+2}

21 6^{3 x} \cdot 21 6^{x} = 3 6^{3 x + 2}

x = \frac{2}{3}

Decimal

x = 0.66666 \dots

Solution steps

21 6^{3 x} \cdot 21 6^{x} = 3 6^{3 x + 2}

Apply exponent rules

12 x = 2 (3 x + 2)

Solve

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

x = \frac{2}{3}

e^{x} x + 4 e^{x} = 0

\frac{1}{6} = (\frac{1}{2})^{x}

5^{x + 2} = 7^{x}

3^{4 x - 4} = 81

4^{x} = 4096

What is the answer to 216^{3x}*216^x=36^{3x+2} ?
The answer to 216^{3x}*216^x=36^{3x+2} is x= 2/3
Solve for x: 216^{3x}*216^x=36^{3x+2}
The solution is x= 2/3