What is the answer to 7^{z^2+4}=7^{-4z} ?

The answer to 7^{z^2+4}=7^{-4z} is z=-2

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7^{z^2+4}=7^{-4z}

7^{z^{2} + 4} = 7^{- 4 z}

z = - 2

Solution steps

7^{z^{2} + 4} = 7^{- 4 z}

Apply exponent rules

z^{2} + 4 = - 4 z

Solve

z^{2} + 4 = - 4 z : z = - 2

z = - 2

x^{x} = 31

2^{3 x - 1} - 2^{2 x - 1} = 2^{x + 3} - 2

e^{3 x} = \frac{1}{8}

3 (4^{x}) = (2)^{3 x - 5}

0. 5^{\frac{9900}{x}} = 30

What is the answer to 7^{z^2+4}=7^{-4z} ?
The answer to 7^{z^2+4}=7^{-4z} is z=-2
Solve for z: 7^{z^2+4}=7^{-4z}
The solution is z=-2