What is the answer to 27^{x+1}=81^{x-3} ?

The answer to 27^{x+1}=81^{x-3} is x=15

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27^{x+1}=81^{x-3}

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

x = 15

Solution steps

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

Apply exponent rules

3 (x + 1) = 4 (x - 3)

Solve

3 (x + 1) = 4 (x - 3) : x = 15

x = 15

(\frac{1}{27})^{2 x + 5} = 3

4^{2 x} = 8^{x - 1}

2^{x} - 3 = 0

9 \times 2 7^{x} = 27

e^{x} - e^{- x} = 5

What is the answer to 27^{x+1}=81^{x-3} ?
The answer to 27^{x+1}=81^{x-3} is x=15
Solve for x: 27^{x+1}=81^{x-3}
The solution is x=15