Question

Вычислите значение выражение log^0,5 4+lg1/100 – log3 1/243 +lg^0,01 помогите пожалуйста

Answer 1

Log^1/2 4 +lg 0.01-log3 (1/243)+lg0.01=-1

Answer 2

Calculating the Value of the Expression

To calculate the value of the given expression, we can break it down step by step.

The given expression is: log^0.5 4 + lg(1/100) - log3(1/243) + lg^0.01

Let's calculate each part of the expression separately.

1. log^0.5 4 - The expression log^0.5 4 can be rewritten as 4 raised to the power of 0.5 in the logarithmic form. - This simplifies to √4, which equals 2.

2. lg(1/100) - lg denotes the base-10 logarithm. - lg(1/100) is equivalent to log base 10 of 1/100. - This simplifies to -2, as log base 10 of 1/100 is -2.

3. log3(1/243) - log3(1/243) is equivalent to log base 3 of 1/243. - This simplifies to -5, as log base 3 of 1/243 is -5.

4. lg^0.01 - lg^0.01 can be rewritten as 0.01 raised to the power of 10 in the logarithmic form. - This simplifies to 10^-2, which equals 0.01.

Now, let's substitute the calculated values back into the original expression:

log^0.5 4 + lg(1/100) - log3(1/243) + lg^0.01 = 2 - 2 - (-5) + 0.01 = 2 + 2 + 5 + 0.01 = 9.01

So, the value of the given expression log^0.5 4 + lg(1/100) - log3(1/243) + lg^0.01 is 9.01.