What is the answer to (sqrt(6))^{8x}=216^{x-3} ?

The answer to (sqrt(6))^{8x}=216^{x-3} is x=-9

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(sqrt(6))^{8x}=216^{x-3}

(6)^{8 x} = 21 6^{x - 3}

x = - 9

Solution steps

(6)^{8 x} = 21 6^{x - 3}

Apply exponent rules

4 x = 3 (x - 3)

Solve

4 x = 3 (x - 3) : x = - 9

x = - 9

4^{x^{2} - x} = 16

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

e^{x} - 6 x = 5

2^{x} \cdot 2^{x} = 2^{1}

8^{x - 10} = 0.2 5^{x}

What is the answer to (sqrt(6))^{8x}=216^{x-3} ?
The answer to (sqrt(6))^{8x}=216^{x-3} is x=-9
Solve for x: (sqrt(6))^{8x}=216^{x-3}
The solution is x=-9