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Evaluate: 2.60.029log[0.1]2.6 -0.029\log_{[0.1]}

Full solution

Q. Evaluate: 2.60.029log[0.1]2.6 -0.029\log_{[0.1]}
  1. Calculate logarithm base 1010: Step 11: Calculate the logarithm base 1010 of 0.10.1.log10[0.1]=1\log_{10}[0.1] = -1 (since 101=0.110^{-1} = 0.1)
  2. Multiply by 0.0290.029: Step 22: Multiply 1-1 by 0.0290.029.\newline1×0.029=0.029-1 \times 0.029 = -0.029
  3. Subtract from 22.66: Step 33: Subtract 0.029-0.029 from 2.62.6.\newline2.6(0.029)=2.6292.6 - (-0.029) = 2.629