2 to the power of x =212

To solve the equation 2^x = 212, we need to take the logarithm of both sides.

Step 1: Take the logarithm of both sides:
\log(2^x) = \log(212)

Step 2: Apply the power rule of logarithms:
x \log(2) = \log(212)

Step 3: Solve for x:
x = \frac{\log(212)}{\log(2)}

Step 4: Calculate the value of x:
x \approx \frac{\log(212)}{\log(2)} \approx \frac{2.3263}{0.6931} \approx 3.357

\boxed{x \approx 3.357}