What is the answer to 16^{3x-2}=32^{x+4} ?

The answer to 16^{3x-2}=32^{x+4} is x=4

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16^{3x-2}=32^{x+4}

1 6^{3 x - 2} = 3 2^{x + 4}

x = 4

Solution steps

1 6^{3 x - 2} = 3 2^{x + 4}

Apply exponent rules

4 (3 x - 2) = 5 (x + 4)

Solve

4 (3 x - 2) = 5 (x + 4) : x = 4

x = 4

9^{x} - 2 \times 3^{x + 2} + 81 = 0

8^{x} = 1024

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

e^{2 x} - 12 = 4 e^{x}

2 - e^{- x} = 0

What is the answer to 16^{3x-2}=32^{x+4} ?
The answer to 16^{3x-2}=32^{x+4} is x=4
Solve for x: 16^{3x-2}=32^{x+4}
The solution is x=4