Use the ptoperties of logarithms to expand the following expression log(frac{z^3}{sqrt(x^5y)})

nicekikah

nicekikah

Answered question

2021-08-19

Use the ptoperties of logarithms to expand the following expression log(z3x5y)

Answer & Explanation

SabadisO

SabadisO

Skilled2021-08-20Added 108 answers

log(z3x5y)
using the property,
log(mn)=logmlogn
log(z3x5y)=logz3logx5y
log(z3x5y)=logz3logx5y=logz3log(x5y)12
using the property,

logmn=nlogm
3logz12log(x5y)
using the property
logmn=logm+logn
3logz12(logx5+logy)
3logz12(5logx+logy)

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