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Chapter 10: Q. 329 (page 1055)

In the following exercises, solve each equation.

lnx=9.

Short Answer

Expert verified

The solution isx=e9.

Step by step solution

01

Step 1. Given equation is,

lnx=9.

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

The standard form of the exponential equation is,role="math" localid="1645021462658" x=ey

02

Step 2. Convert the given equation into an exponential form and simplify it.

Here, y=9.

So,x=e9.

03

Step 3. Let us check the answer.

Substitute x=e9in the given equation.

lne9=99=9

which is true.

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