Tutorial Exercise Solve the logarithmic equation algebraically. Approximate the result to th log(7z) = 4

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 19PT: Rewrite 163x5=1000 as a logarithm. Then applythe change of base formula to solve for x using...
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Tutorial Exercise
Solve the logarithmic equation algebraically. Approximate the result to th
log(7z) = 4
Step 1
Rewrite the equation using the Inverse Property of logarithms.
107log(z) = 104
log(7z) = 4
7z = log(4)
%3D
10log(7z) = 104
107z = 104
Step 2
Now, rewrite this equation without logarithms.
=D 10,000
%3D
Transcribed Image Text:Tutorial Exercise Solve the logarithmic equation algebraically. Approximate the result to th log(7z) = 4 Step 1 Rewrite the equation using the Inverse Property of logarithms. 107log(z) = 104 log(7z) = 4 7z = log(4) %3D 10log(7z) = 104 107z = 104 Step 2 Now, rewrite this equation without logarithms. =D 10,000 %3D
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