Question

2^x - 4^x + 3 = 0
the solution set expressed in terms of logarithms is {0, ln 3}.
use a comma to separate answers as needed. simplify your answer. use integers or fractions for
now use a calculator to obtain a decimal approximation for the solution.
the solution set is
(use a comma to separate answers as needed. round to two decimal places as needed.)

Explanation:

Step1: Identify the approximate value of \(\ln 3\)

We know that the natural logarithm of 3, \(\ln 3\), can be approximated using a calculator. Recall that \(\ln 3\approx1.10\) (rounded to two decimal places). The other solution is 0.

Step2: Form the solution set with approximate values

The solution set in terms of approximate values (rounded to two decimal places) will be the set containing 0 and the approximation of \(\ln 3\). So we substitute the approximate value of \(\ln 3\) into the solution set.

Answer:

\(\{0, 1.10\}\)