Questions: 2 = log10(100)

Solution Steps

To convert a logarithmic equation to its equivalent exponential form, we use the definition of a logarithm. The equation \(\log_b(a) = c\) can be rewritten as \(b^c = a\).

Given the equation \(2 = \log_{10}(100)\), we can rewrite it in exponential form as \(10^2 = 100\).

To convert the logarithmic equation \(2 = \log_{10}(100)\) into its equivalent exponential form, we apply the definition of logarithms. This states that if \(y = \log_b(x)\), then \(b^y = x\).

In our case, we have:

• Base \(b = 10\)
• Result \(x = 100\)
• Exponent \(y = 2\)

Using the identified components, we can rewrite the logarithmic equation in exponential form: \[ 10^2 = 100 \]

Final Answer