Evaluate each logarithm 1.log 5 125 2. log 1/2 1/4 3.log 3 729 4. log 9 1/3 5. l

Question

Evaluate each logarithm 1.log5125          2. log 1/21/4                3.log 3729 4. log91/3           5. log 1/24/4                4. log8 1/256 Use properties of logarithms to evaluate each expression 1. log 100    2. log 900 - log9          3.log84 + log816    4. 3log39 - 4 log33 Solve each equation round t5o the nearest hundredth. 1. log 5x =3           2.log x +1/10            3. 102x =40           4. log ( 7x + 3) =2            5. log5( 3x + 10) - 3 log54 = 2 Evaluate each logarithm 1.log5125          2. log 1/21/4                3.log 3729 4. log91/3           5. log 1/24/4                4. log8 1/256 Use properties of logarithms to evaluate each expression 1. log 100    2. log 900 - log9          3.log84 + log816    4. 3log39 - 4 log33 Solve each equation round t5o the nearest hundredth. 1. log 5x =3           2.log x +1/10            3. 102x =40           4. log ( 7x + 3) =2            5. log5( 3x + 10) - 3 log54 = 2

Explanation / Answer

1. log5 of 125=      5^x=125       x=3           itsasking what power of 5 must equal 125 which would be 3 2. log 1/2 of 1/4     1/2^x=1/4      x=2          itsasking what power of 1/2 must equal 1/4 so 1/2*1/2= 1/4 3. log 3 of729         3^x=729      x=6           itsasking what power of 3 must equal 729 so 3*3*3*3*3*3=729 4. log 1/2 of 4/4      1/2^x=4/4      x= -2/4       you have to flip the number to2/1 so you do that by a negative power, then multiply by 2/4 power to get 4/4 5. Log 8 of 1/256     8^x=1/256   x=-3        you have to flip theanswer to a fraction so you have to use a negative power and to getto 256 requires 8^3 so your answer is -3

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