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NDA2018MathematicsBasics of MathematicsActual

If (0.2)^x=2 and ₁₀ 2=0.3010 , then what is the value of x to the nearest tenth?

Options

  1. A-10.0
  2. B-0.5
  3. C-0.4
  4. D-0.2

Correct answer

C. -0.4

Step-by-step solution

(0.2)^x=2 Taking on both sides, aligned & x ₁₀ 2 10 = ₁₀ 2 & x [ ₁₀ 2- ₁₀ 10 ]= ₁₀ 2 & x[0.3010-1]=0.3010 & x=- 0.3010 0.6990 -0.43 aligned

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