If log10 100 = x, what is the value of x?

If log10 100 = x, what is the value of x?

• A. 1
• B. 2
• C. 3
• D. 10

Answer: (B)

To determine the value of x in the equation log₁₀ 100 = x, we first need to understand what the logarithm represents. The expression log₁₀ 100 asks the question: "To what power must 10 be raised to get 100?" Now, we can rewrite the logarithmic equation in its exponential form. This means we look for a number such that: 10^x = 100. We know that 100 can also be expressed as 10 squared (10²). Thus, we can set up the equation: 10^x = 10². Since the bases on both sides of the equation are the same (both are 10), we can conclude that the exponents must be equal for the equation to hold true. Therefore: x = 2. This means log₁₀ 100 = 2. As a result, the value of x is indeed 2.

To determine the value of x in the equation log₁₀ 100 = x, we first need to understand what the logarithm represents. The expression log₁₀ 100 asks the question: "To what power must 10 be raised to get 100?"

Now, we can rewrite the logarithmic equation in its exponential form. This means we look for a number such that:

10^x = 100.

We know that 100 can also be expressed as 10 squared (10²). Thus, we can set up the equation:

10^x = 10².

Since the bases on both sides of the equation are the same (both are 10), we can conclude that the exponents must be equal for the equation to hold true. Therefore:

x = 2.

This means log₁₀ 100 = 2. As a result, the value of x is indeed 2.