SOLUTION: I understand how I arrived at the equation I just can't get my calculator to work. I'm not sure how to input it into my calculator but what I need to find is log 81+ 2log 4 --

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Question 368909: I understand how I arrived at the equation I just can't get my calculator to work. I'm not sure how to input it into my calculator but what I need to find is
log 81+ 2log 4
--------------
log 4-log 3
In words: Log eighty one plus two log four divided by log four minus log 3.
I have to find the decimal approximation to the nearest thousandth.
Thank You very much for your help.
Erica

Found 2 solutions by haileytucki, Alan3354:
Answer by haileytucki(390)   (Show Source): You can put this solution on YOUR website!
log^81+2log4-log(3)
To find an approximate value of log4, use the formula log^ng81=(ln(g81))/(ln(n)).
g81lo+((2ln(4))/(ln(10)))-log(3)
Find the value of each expression using a calculator.
g81lo+(20.60206)-log(3)
To find an approximate value of log(3), use the formula log^ng81=(ln(g81))/(ln(n)).
g81lo+(20.60206)+(-(ln(3))/(ln(10)))
Find the value of each expression using a calculator.
g81lo+(20.60206)+(-0.4771213)
Remove the parentheses that are not needed from the expression.
g81lo+20.60206-0.4771213
Subtract 0.4771213 from 20.60206 to get 20.12494.
g81lo+20.12494

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
= 24.91
Just calculator work.
or,
= log(1296)/log(4/3)

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