Question

Log⁹81+lg100+log⁴^4-125^1/3+81^3/2+2°

Answer 1

Log(9)81+lg100+log(4)4-∛125+√81³+1=2+2+1-5+243+1=244

Answer 2

Let's break down the expression step by step:

1. log⁹81: This means the logarithm of 81 to the base 9. log₉81 = 2, because 9² = 81.

2. lg100: This represents the common logarithm (base 10) of 100. lg100 = 2, because 10² = 100.

3. log⁴^4: This indicates the logarithm of 4 raised to the power of 4. log₄(4^4) = 4, because 4⁴ = 256.

4. 125^(1/3): This is the cube root of 125. 125^(1/3) = 5, because 5³ = 125.

5. 81^(3/2): This is the square root of 81 raised to the power of 3. 81^(3/2) = 27, because √(81³) = √(531441) ≈ 27.

6. 2°: This is simply 2 raised to the power of 0. 2° = 1, because any number raised to the power of 0 is 1.

Now let's add up all the values:

2 + 2 + 4 - 5 + 27 + 1 = 31.

So, the final result of the expression is 31.