What is the answer to 10^x*10^{x+2}=1000 ?

The answer to 10^x*10^{x+2}=1000 is x= 1/2

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10^x*10^{x+2}=1000

1 0^{x} \cdot 1 0^{x + 2} = 1000

x = \frac{1}{2}

Solution steps

1 0^{x} \cdot 1 0^{x + 2} = 1000

Apply exponent rules

2 x + 2 = 3

Solve

2 x + 2 = 3 : x = \frac{1}{2}

x = \frac{1}{2}

e^{5 x} = 17

\frac{3}{2} e^{x} - e^{- x} = 0

2^{(x - 2) (2 x + 1)} = 1

e^{2 x} + 3 x = 4

1 6^{x + 3} = 6 4^{2 x - 5}

What is the answer to 10^x*10^{x+2}=1000 ?
The answer to 10^x*10^{x+2}=1000 is x= 1/2
Solve for x: 10^x*10^{x+2}=1000
The solution is x= 1/2