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91Ó°ÊÓ

In the following exercises, solve each equation.

lne6x=18.

Short Answer

Expert verified

The solution isx=3.

Step by step solution

01

Step 1. Given equation is,

lne6x=18.

The objective is, we need to find the solution for the given equation.

We know that,lnex=x.

02

Step 2. Apply the property in the given equation.

6x=18.

Now simplify the obtained equation.

x=186x=3

03

Step 3. Let us check the answer.

Substitute x=3in the given equation.

lne63=18lne18=1818=18

which is true.

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