# Example 9: Solve the following for the exact value of xa) log,xlog, 27+2 log, 2-log, 3b) logx+log x3) log 10c) 32-17 5

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7 views help_outlineImage TranscriptioncloseExample 9: Solve the following for the exact value of x a) log,xlog, 27+2 log, 2-log, 3 b) logx+log x3) log 10 c) 32-17 5 fullscreen
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Step 1

Refer to the question we need to find the value of x of the provided logarithm equations as,

Step 2

Now use the following logarithmic formula to get the value of x. help_outlineImage Transcriptioncloselog rule 1: alog, (b) = log, (b°) log rule 2:log, (a)+log, (b)= log. (ab) log rule 3:log. (a)-log, (b) log| b fullscreen
Step 3

Now solve part ... help_outlineImage Transcriptionclose=log, (27)+2 log, (2)-log, ( |(a)... log, (x) (3) Apply log rule : a log. (b) = log, (b log, (x) log, 273log, (22log, (3) Then Apply log rule:log, (a)+log. (b) = log, (ab) log, (x)log, 22 273-log, (3) = log, 4(3)-log, (3) =log, (36)-log, (3) fullscreen

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### Algebra 