Use the Laws of Logarithms to expand the expression. \log_{2}{(\frac{s^5}

naivlingr

naivlingr

Answered question

2021-10-15

Use the Laws of Logarithms to expand the expression.
log2{(s57t2)}

Answer & Explanation

unett

unett

Skilled2021-10-16Added 119 answers

STEP 1
To expand given expression following properties of logarithms will be used. The exponent property loga{xm}=mloga{x}
The sum property of logarithms: loga{x}+loga{y}=loga{xy}. And the difference property of logarithms: loga{x}loga{y}=loga{xy}
STEP 2
The given expression is log2{(s57t2)}. Use the properties of logarithms to expand this expression.
log2{(s57t2)}=log2{s5}log2{(7t2)}
=5log2{s}log2{7}log2{t2}
=5log2{s}log2{7}2log2{t}

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