What is the answer to 10^{-3x}*10^x= 1/10 ?

The answer to 10^{-3x}*10^x= 1/10 is x= 1/2

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10^{-3x}*10^x= 1/10

1 0^{- 3 x} \cdot 1 0^{x} = \frac{1}{10}

x = \frac{1}{2}

Decimal

x = 0.5

Solution steps

1 0^{- 3 x} \cdot 1 0^{x} = \frac{1}{10}

Apply exponent rules

- 2 x = - 1

Solve

- 2 x = - 1 : x = \frac{1}{2}

x = \frac{1}{2}

e^{x + 1} = 1 0^{2 x}

e^{2 x + 1} = 11

3^{x} + \frac{1}{3 ^{x + 1}} = \frac{28}{9}

1 0^{\frac{x}{4}} = 62

2^{x + 3} + 2^{x + 4} = 96

What is the answer to 10^{-3x}*10^x= 1/10 ?
The answer to 10^{-3x}*10^x= 1/10 is x= 1/2
Solve for x: 10^{-3x}*10^x= 1/10
The solution is x= 1/2