Chapter6: Exponential And Logarithmic Functions
Section6.3: Logarithmic Functions
Problem 3SE: How can the logarithmic equation logbx=y besolved for x using the properties of exponents?
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Question
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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