SOLUTION: Rewrite log7(151) using base-10 logarithms. Find an apporx. answer rounded to three decimal places. I have no idea how to even begin this question because the notes I was given

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Rewrite log7(151) using base-10 logarithms. Find an apporx. answer rounded to three decimal places. I have no idea how to even begin this question because the notes I was given      Log On


   

Question 973845: Rewrite log7(151) using base-10 logarithms. Find an apporx. answer rounded to three decimal places.
I have no idea how to even begin this question because the notes I was given (I do correspondence work at home) don't even mention base 10 logarithms.
If somebody could explain this that would be wonderful.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite log7(151) using base-10 logarithms. Find an apporx. answer rounded to three decimal places.
I have no idea how to even begin this question because the notes I was given (I do correspondence work at home) don't even mention base 10 logarithms.
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Base 10 is the default base. If no other base is given, it's base 10.
The Log button on calculators does base 10.
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For log%287%2C151%29 use the base change formula:
log%287%2C151%29+=+log%28151%29%2Flog%287%29
=~ 2.578
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The log is the exponent.
--> 7%5E2.578+=150.89 (not 151 due to round-off error)