Question

2²log² 10+log\frac{1}{5} =? 55=

Answer 1

2² log² 10 + log $\frac{1}{5}$ 5= ( 2 log 2 10 )² + log $\frac{1}{5}$ 5=

= 10² + log $\frac{1}{5}$ 5=100+(-1)=99  

Answer 2

Let's break down the expression step by step:

1. Start with 2^2 * log^2(10): 2^2 = 4 log^2(10) = (log(10))^2

2. Calculate log(10): log(10) is the exponent to which 10 must be raised to get the value 10. log(10) = 1

3. Now, calculate (log(10))^2: (log(10))^2 = 1^2 = 1

4. Next, calculate log(1/5): log(1/5) is the exponent to which 10 must be raised to get the value 1/5. log(1/5) = -log(5)

5. Substitute the values back into the original expression: 4 * 1 + (-log(5))

6. Finally, simplify: 4 - log(5)

So, the simplified expression is 4 - log(5).