What is the answer to 81^{2^{x+7}}=3^{8^{x-13}} ?

The answer to 81^{2^{x+7}}=3^{8^{x-13}} is x=24

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81^{2^{x+7}}=3^{8^{x-13}}

8 1^{2^{x + 7}} = 3^{8^{x - 13}}

x = 24

Solution steps

8 1^{2^{x + 7}} = 3^{8^{x - 13}}

Apply exponent rules

x + 9 = 3 (x - 13)

Solve

x + 9 = 3 (x - 13) : x = 24

x = 24

x, e^{2 x} - 11 e^{x} + 30 = 0

3^{2 x} - 3^{x} - 2 = 0

1 0^{x} = 40

1 0^{x} = 50

1 0^{x} = 64

What is the answer to 81^{2^{x+7}}=3^{8^{x-13}} ?
The answer to 81^{2^{x+7}}=3^{8^{x-13}} is x=24
Solve for x: 81^{2^{x+7}}=3^{8^{x-13}}
The solution is x=24