What is the answer to 0.05=5(10^{-0.01x}) ?

The answer to 0.05=5(10^{-0.01x}) is x=200

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0.05=5(10^{-0.01x})

0.05 = 5 (1 0^{- 0.01 x})

x = 200

Solution steps

0.05 = 5 (1 0^{- 0.01 x})

Switch sides

5 \cdot 1 0^{- 0.01 x} = 0.05

Divide both sides by

5

1 0^{- 0.01 x} = 0.01

Apply exponent rules

- 0.01 x = - 2

Solve

- 0.01 x = - 2 : x = 200

x = 200

200 = 100 (3)^{0.6 t}

2^{y} = \frac{1}{16}

1 6^{2 x - 3} = 4^{x + 2}

3^{- x + 4} = 81

8^{1 - 5 x} = 9

What is the answer to 0.05=5(10^{-0.01x}) ?
The answer to 0.05=5(10^{-0.01x}) is x=200
Solve for x: 0.05=5(10^{-0.01x})
The solution is x=200