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

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

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

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

x = 2

Solution steps

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

Apply exponent rules

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

Solve

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

x = 2

\frac{5}{1 + e ^{- x}} = 4

8 = 60 x - 1800 + \frac{1800}{e ^{\frac{x}{30}}}

7^{x - 1} + 7 = 8

500 \cdot 3^{0.0625 x} = 1000

2^{x} = \frac{1}{2 ^{4}}

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