Write each expression as a sum and/or difference of logarithms.Express

nevinijifg8

nevinijifg8

Answered question

2022-03-07

Write each expression as a sum and/or difference of logarithms.Express powers as factors.
ln5x1+3x(x4)3,x>4

Answer & Explanation

Ian Adams

Ian Adams

Skilled2022-03-14Added 163 answers

The given equation is,ln5x1+3x(x4)3To solve the given equation, we use the logarithmic properties as,logabc=clogablog(ab)=logalogblogaa=1On solving the given equation, we getln5x1+3x(x4)3=ln(5x1+3x)ln(x4)4=ln(5x)+ln(1+3x)4ln(x4)=ln(5)+ln(x)+ln(1+3x)124ln(x4)=ln(5)+ln(x)+12ln(1+3x)4ln(x4)Therefore, the simplified form of the given expression isln(5)+ln(x)+12ln(1+3x)4ln(x4)

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