Solve the logarithmic equation algebraically. Approximate the result to three decimal places.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 457PT: Convert the equation from logarithmic equation to exponential form: 3=log7343
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ln 9x = 1

Solve the logarithmic equation algebraically. Approximate the result to three decimal places.

Expert Solution
Step 1

Steps to solve the logarithm equation algebraically,

i) Write both sides as an exponent of e.

ii) Then we know that if the base of exponent and base of logarithm is same then it is replaced by coefficient i.e.

eln b = b.

iii) solve the equation to find the value of x. 

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