What is the answer to 16^{x+4}=64^{3x-5} ?

The answer to 16^{x+4}=64^{3x-5} is x= 23/7

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16^{x+4}=64^{3x-5}

1 6^{x + 4} = 6 4^{3 x - 5}

x = \frac{23}{7}

Decimal Notation

x = 3.28571 \dots

Solution steps

1 6^{x + 4} = 6 4^{3 x - 5}

Apply exponent rules

2 (x + 4) = 3 (3 x - 5)

Solve

2 (x + 4) = 3 (3 x - 5) : x = \frac{23}{7}

x = \frac{23}{7}

2 7^{\frac{2}{3} x} = 81

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

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

n = 2^{(\frac{n}{8})}

8^{x + 4} = 3

What is the answer to 16^{x+4}=64^{3x-5} ?
The answer to 16^{x+4}=64^{3x-5} is x= 23/7
Solve for x: 16^{x+4}=64^{3x-5}
The solution is x= 23/7