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

Naltatis asked Sep 9, 2023

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5 votes

Naltatis asked Sep 9, 2023

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7 votes

Step-by-step explanation

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

Next,

$\begin{gathered} lna+lnb=ln(a* b) \\ hence;ln4+ln16^5=ln(4*16^5)=ln4194304 \end{gathered}$

Answer: ln4194304

Andranikasl answered Sep 14, 2023

3.3k points

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