What is the answer to 100^{x+3}= 1/10 ?

The answer to 100^{x+3}= 1/10 is x=-7/2

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100^{x+3}= 1/10

10 0^{x + 3} = \frac{1}{10}

x = - \frac{7}{2}

Decimal Notation

x = - 3.5

Solution steps

10 0^{x + 3} = \frac{1}{10}

Apply exponent rules

2 (x + 3) = - 1

Solve

2 (x + 3) = - 1 : x = - \frac{7}{2}

x = - \frac{7}{2}

2^{x} = 4^{3}

\frac{1}{e ^{x}} = 0

4^{x} + 2^{1 + 2 x} = 40

3^{2 x} - 3^{x} - 6 = 0

3^{x} + 3^{x + 2} = 90