What is the answer to sqrt(10)=(0.01)^x ?

The answer to sqrt(10)=(0.01)^x is x=-1/4

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sqrt(10)=(0.01)^x

10 = (0.01)^{x}

x = - \frac{1}{4}

Decimal Notation

x = - 0.25

Solution steps

10 = (0.01)^{x}

Apply exponent rules

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

Solve

\frac{1}{2} = - 2 x : x = - \frac{1}{4}

x = - \frac{1}{4}

2 e^{- 2000 t} = e^{- 1000 t}

- 5 + 20 e^{- 2 t} = 0

12 5^{x - 3} = 2 5^{x - 3}

2^{2 x} = 9

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

What is the answer to sqrt(10)=(0.01)^x ?
The answer to sqrt(10)=(0.01)^x is x=-1/4
Solve for x: sqrt(10)=(0.01)^x
The solution is x=-1/4