What is the answer to (sqrt(7))^{6x}=49^{x-6} ?

The answer to (sqrt(7))^{6x}=49^{x-6} is x=-12

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(sqrt(7))^{6x}=49^{x-6}

(7)^{6 x} = 4 9^{x - 6}

x = - 12

Solution steps

(7)^{6 x} = 4 9^{x - 6}

Apply exponent rules

3 x = 2 (x - 6)

Solve

3 x = 2 (x - 6) : x = - 12

x = - 12

4^{x - 1} = 2^{x} + 48

1 5^{4 a} = 8 1^{a + 2}

9^{x - 1} = 27

3^{x + 2} = 10

2^{- k} = 2^{k + 1}

What is the answer to (sqrt(7))^{6x}=49^{x-6} ?
The answer to (sqrt(7))^{6x}=49^{x-6} is x=-12
Solve for x: (sqrt(7))^{6x}=49^{x-6}
The solution is x=-12