What is the answer to 4^{8x-5}=16^{5x+7} ?

The answer to 4^{8x-5}=16^{5x+7} is x=-19/2

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4^{8x-5}=16^{5x+7}

4^{8 x - 5} = 1 6^{5 x + 7}

x = - \frac{19}{2}

Decimal Notation

x = - 9.5

Solution steps

4^{8 x - 5} = 1 6^{5 x + 7}

Apply exponent rules

8 x - 5 = 2 (5 x + 7)

Solve

8 x - 5 = 2 (5 x + 7) : x = - \frac{19}{2}

x = - \frac{19}{2}

2^{x - 1} = 102 4^{x}

4^{x + 2} = 8^{x}

3^{2 x} - 3^{2 x - 1} = 18

4^{x} - 2^{x + 1} - 8 = 0

5 e^{7 x} = 3215

What is the answer to 4^{8x-5}=16^{5x+7} ?
The answer to 4^{8x-5}=16^{5x+7} is x=-19/2
Solve for x: 4^{8x-5}=16^{5x+7}
The solution is x=-19/2