What is the answer to 8^{6x-5}2^{3x+1}=2^{8x+9} ?

The answer to 8^{6x-5}2^{3x+1}=2^{8x+9} is x= 23/13

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8^{6x-5}2^{3x+1}=2^{8x+9}

8^{6 x - 5} 2^{3 x + 1} = 2^{8 x + 9}

x = \frac{23}{13}

Decimal Notation

x = 1.76923 \dots

Solution steps

8^{6 x - 5} \cdot 2^{3 x + 1} = 2^{8 x + 9}

Apply exponent rules

3 (6 x - 5) + 3 x + 1 = 8 x + 9

Solve

3 (6 x - 5) + 3 x + 1 = 8 x + 9 : x = \frac{23}{13}

x = \frac{23}{13}

3^{x - 5} = 7

2 (1 + 0.06)^{x} = 5 (1 + 0.008)^{x}

2^{(x - 5)} = 3

t, e^{- Y t} = x

x, 13 e^{5 x} = 13

What is the answer to 8^{6x-5}2^{3x+1}=2^{8x+9} ?
The answer to 8^{6x-5}2^{3x+1}=2^{8x+9} is x= 23/13
Solve for x: 8^{6x-5}2^{3x+1}=2^{8x+9}
The solution is x= 23/13