SOLUTION: write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of In(x) in your answer.) log8.9(124) give a calculator approximation (correc

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of In(x) in your answer.) log8.9(124) give a calculator approximation (correc      Log On


   

Question 607344: write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of In(x) in your answer.)
log8.9(124)
give a calculator approximation (correct to four decimal places)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
log%288.9%2C+%28124%29%29
Just use the change of base formula, log%28a%2C+%28p%29%29+=+log%28b%2C+%28p%29%29%2Flog%28b%2C+%28a%29%29, to convert this base 8.9 log into an expression of ln's:
log%288.9%2C+%28124%29%29+=+ln%28124%29%2Fln%288.9%29
Now get out your calculator:
log%288.9%2C+%28124%29%29+=+ln%28124%29%2Fln%288.9%29+=+4.82028157%2F2.18605128+=+2.20501761
Rounded to 4 decimal places we get:
2.2050