What is the answer to 23^9-23^8=22*23^x ?

The answer to 23^9-23^8=22*23^x is x=8

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23^9-23^8=22*23^x

2 3^{9} - 2 3^{8} = 22 \cdot 2 3^{x}

x = 8

Solution steps

2 3^{9} - 2 3^{8} = 22 \cdot 2 3^{x}

Switch sides

22 \cdot 2 3^{x} = 2 3^{9} - 2 3^{8}

Divide both sides by

22

2 3^{x} = \frac{2 3 ^{9} - 2 3 ^{8}}{22}

Apply exponent rules

x = 8

62 5^{x} = 25

1 0^{3 x} = 21

24 3^{4 x - 8} = 1

- 343 = (- 7)^{y}

250 e^{- 0.1155 t} = 24

What is the answer to 23^9-23^8=22*23^x ?
The answer to 23^9-23^8=22*23^x is x=8
Solve for x: 23^9-23^8=22*23^x
The solution is x=8