What is the answer to 2^{3x+9}=16^{3x+1} ?

The answer to 2^{3x+9}=16^{3x+1} is x= 5/9

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2^{3x+9}=16^{3x+1}

2^{3 x + 9} = 1 6^{3 x + 1}

x = \frac{5}{9}

Decimal Notation

x = 0.55555 \dots

Solution steps

2^{3 x + 9} = 1 6^{3 x + 1}

Apply exponent rules

3 x + 9 = 4 (3 x + 1)

Solve

3 x + 9 = 4 (3 x + 1) : x = \frac{5}{9}

x = \frac{5}{9}

\frac{3 ^{10}}{9 ^{x}} = 2 7^{6}

6^{2 x - 4} = 1

4^{x} = 37

4^{x} = 28

4^{x} = 19

What is the answer to 2^{3x+9}=16^{3x+1} ?
The answer to 2^{3x+9}=16^{3x+1} is x= 5/9
Solve for x: 2^{3x+9}=16^{3x+1}
The solution is x= 5/9