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Unformatted text preview: Writing an expression as a single logarithm Question Write the expression as a Single logacion 6 logz ( 7 2 + 1 ) + + logz (x+3) Explanation logarithms have ne following Tree properties . logarithm of a product : Logn At logn B= logn CAB) . logarithm of a quanent: logn A - logn B = logn (A) . logarism of a power , m lagn A = logn19. were asked To write The Following as a single logarithm. 6 logz ( 7x+ 7) + + logz (x+3) first we use The logarithm of a power property logz ( 7x +7 ) + logz ( x+ 3 )t Next, since There is a plus sign between the Two Terms , we use The logarithm of a product property to combine Them - Answer logz (7+1) ( oct 3)'s ) 1 . f leg + 2 + 6 logby - togown - log, 27 +logsly !6 - logew - loge ( ( 2 )# ( 4)) or logs (24 96 ) w 2 . 3 (logg N - 4 1egg 8 ) + 3 legg 2 = W= ( 21 ) 3. 7 Loga ( 2-5 ) - 4 lena ( 214 ) ( 2 +4 ) 9...
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  • Fall '06
  • Moffett
  • Logarithm, Logz, logarithm of a product

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