What is the answer to 10^{3x}= 1/10000 ?

The answer to 10^{3x}= 1/10000 is x=-4/3

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10^{3x}= 1/10000

1 0^{3 x} = \frac{1}{10000}

x = - \frac{4}{3}

Decimal Notation

x = - 1.33333 \dots

Solution steps

1 0^{3 x} = \frac{1}{10000}

Apply exponent rules

3 x = - 4

Solve

3 x = - 4 : x = - \frac{4}{3}

x = - \frac{4}{3}

9 = 3^{x}

9^{n + 10} + 3 = 81

3^{- (x - 2)} = \frac{1}{27}

3^{2 x} = 5

\frac{e ^{x} - 3 e ^{- x}}{2} = 1

What is the answer to 10^{3x}= 1/10000 ?
The answer to 10^{3x}= 1/10000 is x=-4/3
Solve for x: 10^{3x}= 1/10000
The solution is x=-4/3