What is the answer to 13^{2x+15}=169^{14-6x} ?

The answer to 13^{2x+15}=169^{14-6x} is x= 13/14

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13^{2x+15}=169^{14-6x}

1 3^{2 x + 15} = 16 9^{14 - 6 x}

x = \frac{13}{14}

Decimal Notation

x = 0.92857 \dots

Solution steps

1 3^{2 x + 15} = 16 9^{14 - 6 x}

Apply exponent rules

2 x + 15 = 2 (14 - 6 x)

Solve

2 x + 15 = 2 (14 - 6 x) : x = \frac{13}{14}

x = \frac{13}{14}

2^{- 2 x + 1} \cdot 8 = 2^{4 x}

8^{x} + 1 + 8^{1} - x = 20

- e^{- \frac{1}{2} x} + 1 = 0.4

(\frac{3}{5})^{x} = 2

7^{x + 6} = 3^{x}

What is the answer to 13^{2x+15}=169^{14-6x} ?
The answer to 13^{2x+15}=169^{14-6x} is x= 13/14
Solve for x: 13^{2x+15}=169^{14-6x}
The solution is x= 13/14