Question

////////////////////////////////////////////////// 2^lg2 * 5^lg2

Answer 1

2^lg2 * 5^lg2 = 2^(1/log2(10)) * 5^lg2 = 2.

Answer 2

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Answer 3

To provide a detailed answer to your question, let's break it down step by step.

The expression you provided is "2^lg2 * 5^lg2". To evaluate this expression, let's start by understanding the individual components.

1. lg2: The term "lg2" represents the logarithm base 2 of a number. In other words, it is the exponent to which the number 2 must be raised to obtain the given number. For example, lg2(4) = 2 because 2^2 = 4.

2. ^ (Exponentiation): The symbol "^" represents exponentiation. It is used to raise a number to a certain power. For example, 2^3 = 2 * 2 * 2 = 8.

Now, let's evaluate the expression step by step:

Step 1: Evaluate lg2: The value of lg2 is 1 because 2^1 = 2.

Step 2: Evaluate 2^lg2: Substituting the value of lg2 (which is 1) into the expression, we get 2^1 = 2.

Step 3: Evaluate 5^lg2: Substituting the value of lg2 (which is 1) into the expression, we get 5^