What is the answer to 4^{4x}=16^{3/2 x+9} ?

The answer to 4^{4x}=16^{3/2 x+9} is x=18

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4^{4x}=16^{3/2 x+9}

4^{4 x} = 1 6^{\frac{3}{2} x + 9}

x = 18

Solution steps

4^{4 x} = 1 6^{\frac{3}{2} x + 9}

Apply exponent rules

4 x = 2 (\frac{3}{2} x + 9)

Solve

4 x = 2 (\frac{3}{2} x + 9) : x = 18

x = 18

4^{x + 1} + 4^{x - 1} = 34

2. 5^{x} + 4 = 1254

2^{x} - 2 \cdot 4^{x} = 0

e^{- 4 x} = 0

291 6^{x} = 54

What is the answer to 4^{4x}=16^{3/2 x+9} ?
The answer to 4^{4x}=16^{3/2 x+9} is x=18
Solve for x: 4^{4x}=16^{3/2 x+9}
The solution is x=18