AquilaL76217 AquilaL76217

26-10-2022
Mathematics

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How do i use the properties of logarithms to condense the expression

How do i use the properties of logarithms to condense the expression class=

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MissieT551063 MissieT551063

26-10-2022

Explanation

[tex]\begin{gathered} ln4+5ln16 \\ in\text{ logarithm }lna^x=xlna \\ therefore;ln4+5ln6=ln4+ln16^5 \\ \\ \end{gathered}[/tex]

Next,

[tex]\begin{gathered} lna+lnb=ln(a\times b) \\ hence;ln4+ln16^5=ln(4\times16^5)=ln4194304 \end{gathered}[/tex]

Answer: ln4194304

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