SOLUTION: Given that log10 2=0.3010 and log10 3=0.4771 calculate without using logarithm tables a. log10 54 b. log10 0.24 c. log10 30+ log10 20 d. log10 81+log10 16

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Given that log10 2=0.3010 and log10 3=0.4771 calculate without using logarithm tables a. log10 54 b. log10 0.24 c. log10 30+ log10 20 d. log10 81+log10 16       Log On


   

Question 1162389: Given that log10 2=0.3010 and log10 3=0.4771 calculate without using logarithm tables
a. log10 54
b. log10 0.24
c. log10 30+ log10 20
d. log10 81+log10 16

Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
Only helping with item a:

log%2810%2C54%29
log%2810%2C%2827%2A2%29%29
log%2810%2C%283%5E3%2A2%29%29
log%2810%2C%283%5E3%29%29%2Blog%2810%2C%282%29%29
3%2Alog%2810%2C3%29%2Blog%2810%2C2%29
You have the given substitutions to use, so you can finish from here.

Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


To add to what the other tutor showed for solving part a....

In addition to the given numbers, you know log%2810%2C10%29=1.

So, for example, for part b you have

.24+=+24%2F100+=+%28%282%5E3%29%283%5E1%29%29%2F%2810%5E2%29

log%2810%2C.24%29+=+3%2Alog%2810%2C2%29%2B1%2Alog%2810%2C3%29-2%2Alog%2810%2C10%29

Then, as with the other parts, plug in the values of log10 2, log10 3, and log10 10.