Question

Express the solution in terms of natural logarithms. Then use a calculator to obtain decimal approximation for the solution. . what is the solution in terms of natural logarithms? 10^x = 3.22. what is the solution set?

Answer 1

To evaluate 10^x = 3.22 in terms of natural logarithms, the result would be:
ln 10^x = ln 3.22

A logarithmic property states that ln a^x = x ln a

Applying this to the equation, the result will be x ln 10 = ln 3.22

Simplifying this equation would result to:
x = ln 3.22/ ln 10
x = 0.50786

The answer is 0.50786 and is the solution set