University:
Missouri State University
Course:
MTH 136 | Precalculus 1
Academic year:

2019
Views:

449

Pages:

2
Author:

fiziokrat16l

Name Date Period Properties of Logarithms Expand each logarithm. 1) log(6 * 11) log(6) +log^ 11 2) log(5 * 3) log(5) +log^ 3 3) log(6/11) ^ 5 5[log(6) - log(11)] 5 * log(6) -5 log 4) log(3 * 2 ^ 3) log(log(2 ^ 3)) ^ 3 log(3) + 3 * log(2) 5) log((2 ^ 4)/5) log(2 ^ 4) - log(5) 4 * log(- log(5)) ^ 2 6) log(6/5) ^ 6 6[log(6) - log(5)] 6 * log(6) - 6 * log(5) 7) log(x/(y ^ 6)) log(x) - log(y ^ 6) log(x) - 6 * log(y) 8) log(ab) ^ 2 2[log(a) + log(b)] 2 * log(a) + 2 * log(b) 9) log((u ^ 4)/v) log(u ^ x) -logv V 11) log(root(xyz, 3)) [log_x(yz)] ^ (1/3) 1/3 * [log(x) + log(y) + log(z)] (log(x))/3 + (log(y))/3 + (log(z))/3 10) log(x/(y ^ 5)) log(x) - log(y ^ 5) log(x) - 5 * log(y) 12) log(xy * z ^ 2) log(x) + log(y) + log(z ^ 2) log(x) + log(y) +2 logz Condense each expression to a single logarithm. 13) log(3) - log(8) log(3/8) 15) 4 * log(3) - 4 * log(8) 4 [loc, 3/8] log^ 5 sqrt 8 = log(21/4096) 17) log(7) - 2 * log(12) log(7) - log(17 ^ 2) log(7/(12 ^ 2)) = log(7/144) 19) 6 * log_3(u) + 6 * log_3(v) 6(log_3(uv)) = log_3(w) ^ 6 1093 3 3 4^ 6 v^ 6 10 * log_4(u) - 6 * log_4(v) log_4(v/(v ^ 6)) 23) 20 * log_6(u) + 5 * log_6(v) log_6(u ^ 20) + log_w(y ^ 3) 00 6 (y ^ 10 * y ^ 5) Critical questions: 25) 2(log(2x) - log(y)) - (log(3) + 2 * log(5)) log((2V)/Y) ^ 2 - log(3 * 5 ^ 2) log((4x ^ 2)/(Y ^ 2)) - log(75) log((4x ^ 2)/(25y ^ 2)) 14) (log(6))/3 1/3 log^ 6 log(6 ^ (1/3)) = log(root(6, 3)) 16) log(2) + log(11) + log(7) log(2.11 * 0.7) log(154) 18) (2 * log(7))/3 (1047 ^ 2)/5 1/3 * log(7 ^ 2) = log(7 ^ 2) ^ (1/3) = log(root(49, 2)) 20 ln(x) - 4 * ln(y) ln(x/(y ^ 4)) 22) log_3(mu) - 5 * log_3(v) log_3(v/(y ^ 3)) 24) 4 * log_3(u) - 20 * log_3(v) log_3((y ^ 4)/(y ^ 20)) 26) log xoog 2 Can't be Simplified needs to be addition