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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 10: Q. 342 (page 1055)

In the following exercises, solve for $x$ , giving an exact answer as well as an approximation to three decimal places.
$7 e^{x - 3} = 35$

Short Answer

Expert verified

The exact and approximate value is $\ln 5 + 3, 4.60$ respectcively

Step by step solution

01

Given information

Given the equation $7 e^{x - 3} = 35$

02

Take logarithm both sides and calculate the value

Taking logarithm, we get

$7 e^{x - 3} = 35 e^{x - 3} = 5 \ln e^{x - 3} = \ln 5 x 鈮� 4.60$

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