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Chapter 5: Q 94. (page 299)

Solve the equation.

lne-2x=8

Short Answer

Expert verified

The solution to the equation, lne-2x=8is, x=-4.

Step by step solution

01

Step 1. Given Information

The given equation to be solved is lne-2x=8.

02

Step 2. Formula used

Rule of change from logarithm to exponents:

lnb=y鈬�ey=b

03

Step 3. Finding Solution

The given equation is lne-2x=8.

Use rule of change from logarithm to exponents:

lne-2x=8e8=e-2x-2x=8x=-4

The solution to the given equationis,x=-4.

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