SOLUTION: Suppose log a = 0.3, log b = -0.5. Evaluate each of the following. Don't just give a numerical answer; indicate clearly the log rules you used to calculate the answer. i. {{{ l

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Suppose log a = 0.3, log b = -0.5. Evaluate each of the following. Don't just give a numerical answer; indicate clearly the log rules you used to calculate the answer. i. {{{ l      Log On


   

Question 957757: Suppose log a = 0.3, log b = -0.5. Evaluate each of the following. Don't just give a numerical
answer; indicate clearly the log rules you used to calculate the answer.
i. +log+%28%281000+a%5E2+%29%29+
ii. +log%28root%284%2C+%28a%2Fb%29%29%29+

Thank you
Found 2 solutions by lwsshak3, josgarithmetic:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose log a = 0.3, log b = -0.5. Evaluate each of the following. Don't just give a numerical
answer; indicate clearly the log rules you used to calculate the answer.
i.
Rules applied:
1.Add logs when multiplying.
2.Base raised to a power=power
3.Exponent rule
..
ii.
1. convert 4th root to 1/4 exponent
2.Subtract logs logs when dividing
3.Exponent rule

Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
Just item ii.

log%28%28root%284%2Ca%2Fb%29%29%29

log%28%28%28a%2Fb%29%5E%281%2F4%29%29%29

%281%2F4%29log%28%28a%2Fb%29%29

%281%2F4%29%28log%28%28a%29%29-log%28%28b%29%29%29

%281%2F4%29%280.3-%28-0.5%29%29

%281%2F4%29%280.8%29

highlight%280.2%29