SOLUTION: Use common logarithms to approximate log9 207 to four decimal places. a. 0.4120 b. 1.3617 c. 3.2702 d. 2.4270

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Use common logarithms to approximate log9 207 to four decimal places. a. 0.4120 b. 1.3617 c. 3.2702 d. 2.4270      Log On


   

Question 330258: Use common logarithms to approximate log9 207 to four decimal places.
a. 0.4120
b. 1.3617
c. 3.2702
d. 2.4270
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use common logarithms to approximate log9 207 to four decimal places.
log9(207) = log(207)/log(9) = 2.4270
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Cheers,
Stan H.
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a. 0.4120
b. 1.3617
c. 3.2702
d. 2.4270

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the base conversion formula:



I'll leave you alone to spend some quality time with your calculator.

But seeing that the whole number part of the 4 answers is different for each answer, you can do this one in your head.

Since we know that:





Well, we know that (too small), (too small), (maybe), and (too large). It has to be the one with 2 as a whole number part, i.e. answer d.

John

My calculator said it, I believe it, that settles it