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

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

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2^{16^x}=16^{2^x}

2^{1 6^{x}} = 1 6^{2^{x}}

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

2^{1 6^{x}} = 1 6^{2^{x}}

Apply exponent rules

4 x = 2 + x

Solve

4 x = 2 + x : x = \frac{2}{3}

x = \frac{2}{3}

e^{6 - 4 x} = 8

(\frac{1}{9})^{x + 2} = 3

3^{5 x - 4} = 6

5^{5 x + 7} = 12 5^{x + 3}

\frac{62 5 ^{c - 3}}{125} = 5^{4}

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