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Algebra 2B Properties of Logarithms HW – No Calculator Name ___________________________ Condense each logarithmic expression to a single logarithm with no coefficients. If your answer can be simplified without a calculator, evaluate it. 1) log6 9 log6 4 2) log8 2 log8 32 3) log3 5 log3 6 4) log 2 56 log 2 7 5) log x log 3 6) log9 5 log9 y log9 4 7) 3log 2 x 8) 2log12 6 log12 4 9) 12 log 2 81 log 2 15 10) 3logb m 2logb n 11) 2logb x 3logb y 12) 2logb x 3logb y 5logb z Write as a sum or difference of logarithms with no exponents (Expand). 13) log5 (3i2) 14) log 17 16) log 2 x3 y 7 17) log3 x 5 19 A little review: 19) Rewrite in logarithmic form: 25 32 4 y 15) log 7 æç 5i3ö÷ è 2 ø 18) log3 x 8y z 4 3 20) Rewrite in exponential form log3 81 4 Solve the equation by changing from log form to exponential form or vice versa. 21) 3x 50 22) log3 x = 4