Question: Find the indicated values if the given changes are made in the indicated examples of this section. In Example 7, change ln 3 to ln

Find the indicated values if the given changes are made in the indicated examples of this section.

In Example 7, change ln 3 to ln 6 and then solve the equation.


Data from Example 7

Solve the logarithmic equation 2 ln 2 + ln x = ln 3. Using the properties of logarithms, we have the following solution:

21n2 + Inx = In3 In 2 + Inx - In 3


Because ln(3/4) = ln 3 − ln 4, this solution checks in the original equation.

21n2 + Inx = In3 In 2 + Inx - In 3 = 0 4x In4= = 0 3 4x = e = 1 3 4x = 3, x = 3/4

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