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Write each expression as a single or natural log 

 

3log7+2log5-4log2

 Mar 7, 2023
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First lets remeber the rule a*logb=logb^a

3log7= log7^3

2log5=log5^2

4log2=log2^4

we can write this as 

log7^3+log5^2-log2^4

log(7^3+5^2)/(log2^4) [we can do this becuase of these rules loga^x+loga^y=loga^(x*y) and loga^x-loga(y)=loga(x/y))

log(7^3+5^2)/(log2^4)= log(8575/16) which would be your solution in single log form. Hope this helped!

 Mar 8, 2023

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