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Expand the following logarithms using one or more of the logarithm rules. Sometimes you need to write an expression as a single logarithm. Use the rules to work backwards. log3x2 + log3y . Use the Product Rule for Logarithms. Use the Power Rule for Logarithms. Simplify. Use the Quotient Rule for Logarithms. Simplify. Write as a single logarithm.
a) log ( 1) log log 32 2 2x x+ − = b) log log 3 log (2 1)a a ay y= + − c) log (3 4) log 23 3z z+ − = d) log (4 3) log ( 1) 25 5w w+ − − = e) log (4 7) log 25 5t t+ − = 1 2 x = , 3 5 y = , 2 3 z = , 4 3 w = , 1 3 t =
Download Logarithm Worksheet PDFs. These math worksheets should be practiced regularly and are free to download in PDF formats.
Free 29 question Worksheet(pdf) with answer key on the properties of logarithms (product,quotient and power rules)
4 Free worksheets with answer keys on logarithms. Each one has model problems worked out step by step, practice problems and challenge proglems.
Solve by using the Division ln( 怍 + 2) − ln(4 怍 + 3) = ln Property: 1 怍 ln 4xx+3 xx+2 xx+2 = = ln xx. of a logarithmic equation in the original equation. Exclude from the solution set any proposed solution that produces the log of a negative number or the log of 0. the怍 = log −1 does not work since it produces of a negative怍 = 3 number.
log 3 − log 8 14) log 6 3 15) 4log 3 − 4log 8 16) log 2 + log 11 + log 7 17) log 7 − 2log 12 18) 2log 7 3 19) 6log 3 u + 6log 3 v 20) ln x − 4ln y 21) log 4 u − 6log 4 v 22) log 3 u − 5log 3 v 23) 20 log 6 u + 5log 6 v 24) 4log 3 u − 20 log 3 v Critical thinking questions: 25) 2(log 2x − log y) − (log 3 + 2log 5) 26) log x ⋅ ...
