SOLUTION: Evaluate each expression without using a calculator. a) log 1000 b) log 1 c) log2 + log 50

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Evaluate each expression without using a calculator. a) log 1000 b) log 1 c) log2 + log 50      Log On


   

Question 1012180: Evaluate each expression without using a calculator.
a) log 1000
b) log 1
c) log2 + log 50
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Common logs, base ten assumed

log%28%281000%29%29
3

log%28%281%29%29
0

Think for a few seconds. Do those make sense to you ?


log%28%282%29%29%2Blog%28%2850%29%29
log%28%282%2A50%29%29
log%28%28100%29%29
What do you think?
Why?

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Evaluate each expression without using a calculator.
a) log 1000
b) log 1
c) log2 + log 50
No base signifies base 10, which is the number system we use.

Let log 1,000 be a

Then we get: log+%2810%2C+1000%29+=+a -------> log+%2810%2C+10%5E3%29+=+a

10%5Ea++=+10%5E3 ----- Converting to LOGARITHMIC form

a, or highlight_green%28log+%281000%29+=+3%29



Same concept for the others.