What is the answer to 95^{7-3z}=95^{4z-14} ?

The answer to 95^{7-3z}=95^{4z-14} is z=3

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95^{7-3z}=95^{4z-14}

9 5^{7 - 3 z} = 9 5^{4 z - 14}

z = 3

Solution steps

9 5^{7 - 3 z} = 9 5^{4 z - 14}

Apply exponent rules

7 - 3 z = 4 z - 14

Solve

7 - 3 z = 4 z - 14 : z = 3

z = 3

9 = 4 e^{- 3 x}

9^{x} - 6 \cdot 3^{x} + 81 = 0

3^{2 x^{2} - 3} = 81

3^{2 x + 1} = 3^{x + 5}

e^{x^{2}} = (e^{x})^{2}

What is the answer to 95^{7-3z}=95^{4z-14} ?
The answer to 95^{7-3z}=95^{4z-14} is z=3
Solve for z: 95^{7-3z}=95^{4z-14}
The solution is z=3