SOLUTION: rewrite the following Expression using one or more Logarithms and evaluate without a calculator. Log ( 1/10^-3) + log 10^4 =

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Question 166858: rewrite the following Expression using one or more Logarithms and evaluate without a calculator.
Log ( 1/10^-3) + log 10^4 =


Found 2 solutions by nerdybill, ankor@dixie-net.com:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Log ( 1/10^-3) + log 10^4
= Log 10^3 + log 10^4
= Log 10^3 + log 10^4
= 3 + 4
= 7

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Log ( 1/10^-3) + log 10^4 =
Same as:
log%28%2810%5E4%2F10%5E-3%29%29
Reciprocal gets rid of the negative exponent
log%28%2810%5E3%2A10%5E4%29%29
log%2810%5E7%29
we know the log of 10^7 = 7;
10^7 = 10,000,000