What is the answer to 16^{3^{2x}}=8^{4^{2x}} ?

The answer to 16^{3^{2x}}=8^{4^{2x}} is x= 1/2

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16^{3^{2x}}=8^{4^{2x}}

1 6^{3^{2 x}} = 8^{4^{2 x}}

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

1 6^{3^{2 x}} = 8^{4^{2 x}}

Apply exponent rules

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

Solve

ln (4) + 2 x ln (3) = ln (3) + 2 x ln (4) : x = \frac{1}{2}

x = \frac{1}{2}

6^{x} = 36

2^{n} = 3600000

6^{3 x + 4} = \frac{1}{36}

3^{x + 1} = 2

e^{(6 x)} - 5 e^{(3 x)} + 4 = 0

What is the answer to 16^{3^{2x}}=8^{4^{2x}} ?
The answer to 16^{3^{2x}}=8^{4^{2x}} is x= 1/2
Solve for x: 16^{3^{2x}}=8^{4^{2x}}
The solution is x= 1/2