Stitz-Zeager_College_Algebra_e-book

# Due to the applied nature of the problems we will

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Unformatted text preview: ities represent positive real numbers. (a) ln(x3 y 2 ) 128 (b) log2 x2 + 4 z3 (c) log5 25 (d) log(1.23 × 1037 ) √ z (e) ln xy (h) log 1 (9x(y 3 − 8)) 3 (i) log 1000x3 y 5 (j) log3 (k) ln 4 (l) log6 (f) log5 x2 − 25 (g) log√2 4x3 (m) ln x2 81y 4 xy ez 216 x3 y √ 3 x √ 10 yz 4 2. Use the properties of logarithms to write the following as a single logarithm. (a) (b) (c) (d) (e) (f) (g) 4 ln(x) + 2 ln(y ) 3 − log(x) log2 (x) + log2 (y ) − log2 (z ) log3 (x) − 2 log3 (y ) 1 2 log3 (x) − 2 log3 (y ) − log3 (z ) 2 ln(x) − 3 ln(y ) − 4 ln(z ) 1 log(x) − 3 log(z ) + 1 log(y ) 2 1 1 (h) − 3 ln(x) − 1 ln(y ) + 3 ln(z ) 3 (i) log2 (x) + log 1 (x − 1) 2 (j) log2 (x) + log4 (x − 1) (k) log5 (x) − 3 (l) log7 (x) + log7 (x − 3) − 2 (m) ln(x) + 1 2 3. Use an appropriate change of base formula to convert the following expressions to ones with the indicated base. (a) 7x−1 to base e (b) log3 (x + 2) to base 10 2x to base e 3 (d) log(x2 + 1) to base e (c) 4. Use the appropriate ch...
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## This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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