Question

Use log 4= 0.602 and log 12 = 1.079 to evaluate the logarithms below.log 48= log 144=​

Answer 1

Answer:

follow the process

Step-by-step explanation:

Use log 4= 0.602 and log 12 = 1.079 to evaluate the logarithms below.

log 48=

log 144=​

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Logrithims are used in slide rulers to do math quicker.  Although I used one a few times, I grew up with calculators.  On a slide ruler, to multiply two number you simply add the logs of the numbers.

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So 48 is 4(12)     log 4= 0.602  + log 12 = 1.079  =    log 48 =  1.681

  check        inverse log (1.681) = 47.9733  which rounds up to 48

So 144 is 12(12)    log 12 = 1.079  + log 12 = 1.079  =    log 144 =  2.158

  check        inverse log (2.158) = 143.8787  which rounds up to 144