Expanding Logarithmic Expressions Worksheet
1 3log 9 2 2log 9 5 2 log 6 x log 6 y 6log 6 z 3 2log 5 x 12log 5 y 4 log 3 12 log 3 7 4log 3 5 5 log 2 5 log 2 6 2 log 2 11 2 6 3log 2 3 12log 2 7 Expand each logarithm. See other textbooks as simplification of this logarithm.
Match Color Activity Expand And Condense Logarithms Algebra Interactive Notebooks Color Activities Mathematics Worksheets
Logarithm worksheets for high school students cover the skills based on converting between logarithmic form and exponential form evaluating logarithmic expressions finding the value of the variable to make the equation correct solving logarithmic equations single logarithm expanding logarithm using power rule product rule and quotient rule expressing the log value in algebraic expression.

Expanding logarithmic expressions worksheet. Logarithm worksheets for high school students cover the skills based on converting between logarithmic form and exponential form evaluating logarithmic expressions finding the value of the variable to make the equation correct solving logarithmic equations single logarithm expanding logarithm using power rule product rule and quotient rule expressing the log value in algebraic. This set of 24 task cards is for expanding and condensing logarithms. Log 7 21 77 88 - log 7 121 log 7 24 log7 21 77 88 - log7 121 24 log7 142296 - log7 2904.
The worksheets are split into place values of units thousands millions and billions to enable convenient downloads. 1 log 3 1 2 log 4 4 3 log 7 7 3 4 blog b 3 3 log 25 5 3 4 16log 4 8 3. Properties of Logarithms Date_____ Period____ Expand each logarithm.
9 5log 3 11 10log 3 6 10 6log 9 z 1 2 log 9 x 11 3log 4 z 1 3 log 4 x12 log 6 c 1 2 log 6 a 1 2 log 6 b 13 6log 5 2 24log 5 714 30log 4 x 6log 4 y 15 16log 4 a - 4log 4 b16 log 5. Logarithm worksheets for high school students cover the skills based on converting between logarithmic form and exponential form evaluating logarithmic expressions finding the value of the variable to make the equation correct solving logarithmic equations single logarithm expanding logarithm using power rule product rule and quotient rule expressing the log value in algebraic expression logarithms. This algebra video tutorial explains how to expand logarithmic expressions with square roots using properties of logarithms.
But it all means the same thing. This math worksheet gives your child practice writing numbers in expanded form. 18 log 8 52 124 19 log 656 8 2 20 log 3 12 113 5 Use the properties of logarithms and the values below to find the logarithm indicated.
Justify each step by stating logarithm property used. The best way to illustrate this concept is to show a lot of examples. Expanding and Condensing Logarithms Expand each logarithm.
Students will practice expanding expressions and factoring expression in this set of 40 task cards. Do not use a calculator to evaluate the logs. Log 7 21 log 7 77 log 7 88 - log 7 121 - log 7 24.
Log 7 21 log 7 77 log 7 88 - log 7 121 - log 7 24. This product is intended for Algebr. Worksheet by Kuta Software LLC Algebra 2 Logarithms.
ExpandingCondensing Name_____ Date_____ Period____-1-Expand each logarithm. Find the value of y. Expand and condense logarithmic expressions worksheet 7 8 9 10 11th 12th 7th 8th 9th 10th 11th 12th Reverse process of expanding Kindergarten Logarithms is called combining or condensing logarithmic expressions into a single quantity.
1 log 6 54 2 log 6 86 3 ln11 4 log 3 63 5 log 8 x y 6 log 2 u v w 7 log 6 x5 y 8 log 9 7 8 5 9 log 6 103 10 log 7 115. 1 log x4 y 6 2 log 5 z2x 3 log 5 x4y3 4 log 6 ab3 2 5 log 62 7 2 6 log 4 6 72 3 7 log 7 114 8 2 8 log 9 xy5 6 Condense each expression to a single logarithm. 7 log 3 x y 4 8 log 4 84 7 9 log 4 7 12 5 10 log 6 a b c 11 log 5 x5 y 12 log 6 3 u2 Level 4.
When you are asked to expand log expressions your goal is to express a single logarithmic expression into many individual parts or components. Solved example of expanding logarithms. Expanding Logarithms Sometimes we use methods for expanding logarithms in complicated logarithmic terms.
B b is equal to the logarithm of the quotient. Expanding logarithms can be useful for obtaining more simplified terms. 13 log 9 x5 y 6 14 log 8 x y z6 15 ln.
1 log 7 3 10 2 log 9 11 5 3 log 8 u v 4 log 3 3 x 5 ln x3 6 log 8 x y Level 3. This video contains plenty of e. Log7 142296 2904 log749.
This process is the exact opposite of condensing logarithms because you compress a bunch of log expressions into a simpler one. When expanding logarithms we use the rules of logarithms including the. The difference of two logarithms of equal base.
7 log 7 x4 y2 8 log 7 23 52 9 log 3 z 3 x y 10 log 5 a3 b3 11 log 6 uv3 2 12 log 4 12 72 4. Students will apply properties of logarithms to expand and condense logarithmic expressions algebraically. 21 log 5 8 13 log 5 9 14 log 5 12 15 Find log 5 72 22 log 8 10 11 log 8 11 12 log 8 6 09 Find log 8 6 11 23 log 8 10 11 log 8 11 12 log 8 6 09.
1 log 5 25 y 2 log 3 1 y 3 log 16 4 y 4 log 2 1 8 y 5 log 5 1 y 6 log 2 8 y 7 log 7 1 7 y 8 log 3 1 9 y 9 log y 32 5 10 log 9 y 1 2 11 log 4 1 8 y 12 log 9 1 81 y 2. Expanding and Condensing Logarithms Condense each expression to a single logarithm. Expanding Numbers ANSWER KEY KH Writing Numbers in Standard Expanded Form Write each number in expanded form.
1 log 6 11 log 6 log 11 2 log 5 3 log 5 log 3 3 log 6 11 5 5log 6 5log 11 4 log 3 23 log 3 3log 2 5 log 24 5 4log 2 log 5 6 log 6 5 6 6log 6 6log 5 7 log x y6 log x 6log y 8 log a b2 2log a 2log b 9 log u4 v 4log u log v 10 log x. Log x y z logleft frac xy zright log zxy. Use each set of 20 task cards on its own to practice expanding expressions or factoring expressions or mix and match the two sets of cards to create a set to practice both skills togetherThis resour.
Useful for small group instruction review for assessments and independent practice.
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