To solve the equation 49.7^x = 2041, we can take the logarithm of both sides of the equation. Let's use the natural logarithm (ln) for this example:

ln(49.7^x) = ln(2041)

Using the logarithmic property ln(a^b) = b * ln(a), we can simplify the equation:

x * ln(49.7) = ln(2041)

Now, divide both sides of the equation by ln(49.7):

x = ln(2041) / ln(49.7)

Using a calculator, we can find that ln(2041) ≈ 7.622 and ln(49.7) ≈ 3.904.

Therefore, x ≈ 7.622 / 3.904 ≈ 1.956.

So, the approximate value of x is 1.956.