SOLUTION: log base 7 (539), do not use the change of base formula and a calculator to evaluate the logarithm, correct to six decimal places. use either natural or common logarithms

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log base 7 (539), do not use the change of base formula and a calculator to evaluate the logarithm, correct to six decimal places. use either natural or common logarithms      Log On


   

Question 1055242: log base 7 (539), do not use the change of base formula and a calculator to evaluate the logarithm, correct to six decimal places. use either natural or common logarithms
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

log%287%2C%28539%29%29%22%22=%22%22

            539
            / \
           7  77
             / \
            7  11

log%287%2C%287%5E2%2A11%29%29%22%22=%22%22

log%287%2C%287%5E2%29%29%2Blog%287%2C%2811%29%29%22%22=%22%22

2%2Alog%287%2C%287%29%29%2Blog%287%2C%2811%29%29%22%22=%22%22

2%2A1%2Blog%287%2C%2811%29%29%22%22=%22%22

2%2Blog%287%2C%2811%29%29%22%22=%22%22

Now use the change of base formula:

[Note: the instructions did not say not to 
use the change of base formula at all.  It 
just meant not to use it on the original 
expression.] 

2%2Bln%2811%29%2Fln%287%29%22%22=%22%22 

2%2B2.397895273%2F1.945910149%22%22=%22%22

2%2B1.232274406%22%22=%22%22

3.232274406

Round to 6 decimal places:

3.232274

Edwin