What is the answer to 10^{x+2}-10^x=9900 ?

The answer to 10^{x+2}-10^x=9900 is x=2

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10^{x+2}-10^x=9900

1 0^{x + 2} - 1 0^{x} = 9900

x = 2

Solution steps

1 0^{x + 2} - 1 0^{x} = 9900

Factor

1 0^{x + 2} - 1 0^{x} : 99 \cdot 1 0^{x}

99 \cdot 1 0^{x} = 9900

Divide both sides by

99

1 0^{x} = 100

Apply exponent rules

x = 2

2 e^{2 x} + 2 e^{- 2 x} - e^{x} + e^{- x} = 7

1 0^{x + 8} = 6^{2 x}

34.416 e^{- 0.18 t} = 6

(16 + \frac{0.878}{26})^{3 t} = 30

2^{5 x} = 10

What is the answer to 10^{x+2}-10^x=9900 ?
The answer to 10^{x+2}-10^x=9900 is x=2
Solve for x: 10^{x+2}-10^x=9900
The solution is x=2