tag:blogger.com,1999:blog-6986082220402081615.post3054093848833927546..comments2023-04-24T08:10:28.755-07:00Comments on Math for Liberal Arts: Practice problems for homework due July 6Prof. Hubbardhttp://www.blogger.com/profile/16575880031145705761noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-6986082220402081615.post-34137244313610354872015-06-29T18:59:09.369-07:002015-06-29T18:59:09.369-07:00log 5 ~= .69897 and log 7 ~= .84510.
a) log 35 =...log 5 ~= .69897 and log 7 ~= .84510. <br /><br />a) log 35 = .69897 + .84510 = 1.54407<br /><br />b) log (sqrt(35)) = 1.54407/2 = 0.77204<br /><br />c) log 7/5 = .84510 - .69897 = 0.14613<br /><br />The prime factorization of 108 is 2^2 * 3^3. Find the simplified radical form of for the following radicals, and the approximations to five significant digits.<br /><br />d) sqrt(108) = 6 * sqrt (3) ~= 10.392 <br /><br />e) 108^(1/3) = = 3 * (4)^ [1/3] = 4.7622<br /><br />f) An earthquake registering 5.7 is recorded one morning, and in the afternoon, another quake 27 times stronger is felt. Give the Richter reading of the second stronger quake. (Nearest tenth.)<br /><br />Step 1: log 27 = 1.4313...<br />Step 2. 1.4313.../1.5 = 0.9542, rounds to 1.0<br />Step 3: 5.7 + 1.0 = 6.7<br /><br />g) What is the decibel reading of a sound that is 7 times louder than a 75 decibel reading. (Nearest decibel.)<br /><br />Step 1: log 7 = 0.8451...<br />Step 2. 0.8451 bels rounds to 8 dB when multiplied by 10. <br />Step 3: 75 + 8 = 83 dB.<br /><br />Prof. Hubbardhttps://www.blogger.com/profile/16575880031145705761noreply@blogger.com