What is the answer to 2^{(7x-9)}=4^{6x} ?

The answer to 2^{(7x-9)}=4^{6x} is x=-9/5

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2^{(7x-9)}=4^{6x}

2^{(7 x - 9)} = 4^{6 x}

x = - \frac{9}{5}

Solution steps

2^{(7 x - 9)} = 4^{6 x}

Apply exponent rules

7 x - 9 = 12 x

Solve

7 x - 9 = 12 x : x = - \frac{9}{5}

x = - \frac{9}{5}

54 (2) = 2 \cdot 3^{x}

2^{3 x - 5} = 3^{5 x + 4}

96 = 2^{x}

3^{x^{2} + 2 x + 6} = 2 7^{x + 4}

1 3^{x} = 21 3^{- x}

What is the answer to 2^{(7x-9)}=4^{6x} ?
The answer to 2^{(7x-9)}=4^{6x} is x=-9/5
Solve for x: 2^{(7x-9)}=4^{6x}
The solution is x=-9/5