What is the answer to 100^{x-1}=1000^{2x} ?

The answer to 100^{x-1}=1000^{2x} is x=-1/2

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100^{x-1}=1000^{2x}

10 0^{x - 1} = 100 0^{2 x}

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

10 0^{x - 1} = 100 0^{2 x}

Apply exponent rules

2 (x - 1) = 6 x

Solve

2 (x - 1) = 6 x : x = - \frac{1}{2}

x = - \frac{1}{2}

4^{x} = 1

4^{x} = 3

5^{(x + 1)} = 25

3^{x - 1} + 3^{4 - x} = 36

ln (e^{x} - 3) = 2

What is the answer to 100^{x-1}=1000^{2x} ?
The answer to 100^{x-1}=1000^{2x} is x=-1/2
Solve for x: 100^{x-1}=1000^{2x}
The solution is x=-1/2