Question

Lg 0.01+lg 100+lg корень из 10

Answer 1

Ответ:

Объяснение:

$lg0,01+lg100+lg\sqrt{10}=lg10^{-2}+lg10^2+lg10^{0,5}=\\ \\= -2+2+0,5=0,5$

Answer 2

lg0.01+lg100+lg√10=-2+2+1/2=1/2

Answer 3

To calculate the expression "lg 0.01 + lg 100 + lg √10," let's break it down step by step.

1. Recall that "lg" represents the logarithm base 10.

2. Start by evaluating each individual logarithm:

   • lg 0.01 = -2 (because 10^-2 = 0.01)
   • lg 100 = 2 (because 10^2 = 100)
   • lg √10: To simplify this expression, we can rewrite it as √10 = 10^(1/2). Then, taking the logarithm of both sides: lg (√10) = lg (10^(1/2)) = 1/2 (using the logarithmic property: lg (a^b) = b * lg (a))

3. Now, substitute the calculated values back into the original expression:

   • lg 0.01 + lg 100 + lg √10 = -2 + 2 + 1/2

4. Combine the terms:

   • (-2 + 2) + 1/2 = 0 + 1/2 = 1/2

Therefore, lg 0.01 + lg 100 + lg √10 equals 1/2.