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Magazine Problem 255
For the following exercise, expand each logarithm as much as possible. Rewrite each expression as a sum, difference, or product of logs. \(\ln \left(\frac{1}{4^{k}}\right)\)
Problem 256
For the following exercises, expand each logarititim as much as possible. Rewite each expression as a sum, difference, or product of logs. $$ \log _{2}\left(y^{x}\right) $$
Problem 257
For the following exercises, condense to a single logarithm if possible. $$ \ln (7)+\ln (x)+\ln (y) $$
Problem 258
For the following exercises, condense to a single logarithm if possible. $$ \log _{3}(2)+\log _{3}(a)+\log _{3}(11)+\log _{3}(b) $$
Problem 259
For the following exercises, condense to a single logarithm if possible. $$ \log _{b}(28)-\log _{b}(7) $$
Problem 260
For the following exercises, condense to a single logarithm if possible. $$ \ln (a)-\ln (d)-\ln (c) $$
Problem 261
For the following exercises, condense to a single logarithm if possible. $$ -\log _{b}\left(\frac{1}{7}\right) $$
Problem 262
For the following exercises, condense to a single logarithm if possible. $$ \frac{1}{3} \ln (8) $$
Problem 263
For the following exercise, use the properties of logarithms to expand each logarithm as much as possible. Rewrite each expression as asum, difference, or product of logs. $$ \log \left(\frac{x^{15} y^{13}}{z^{19}}\right) $$
Problem 264
For the following exercise, use the properties of logarithms to expand each logarithm as much as possible. Rewrite each expression as asum, difference, or product of logs. $$ \ln \left(\frac{a^{-2}}{b^{-4} c^{5}}\right) $$
