What is the answer to 49^{-5x+2}=16807^{x-14} ?

The answer to 49^{-5x+2}=16807^{x-14} is x= 74/15

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49^{-5x+2}=16807^{x-14}

4 9^{- 5 x + 2} = 1680 7^{x - 14}

x = \frac{74}{15}

Decimal Notation

x = 4.93333 \dots

Solution steps

4 9^{- 5 x + 2} = 1680 7^{x - 14}

Apply exponent rules

2 (- 5 x + 2) = 5 (x - 14)

Solve

2 (- 5 x + 2) = 5 (x - 14) : x = \frac{74}{15}

x = \frac{74}{15}

x, 9^{1 - 7 x} = 24 3^{x - 11}

(3^{4})^{3} = 2 7^{x}

\frac{4 ^{2 x}}{4 ^{x}} = 64

2^{x} - 2^{x - 3} = 14

3^{2 x - 1} = 3^{x + 7}

What is the answer to 49^{-5x+2}=16807^{x-14} ?
The answer to 49^{-5x+2}=16807^{x-14} is x= 74/15
Solve for x: 49^{-5x+2}=16807^{x-14}
The solution is x= 74/15