Express ln 32 - ln 8 as a single natural logarithm

2 answers:

8 0

$\bf \textit{Logarithm of rationals}
\\\\
log_a\left( \frac{x}{y}\right)\implies log_a(x)-log_a(y)\\\\
-------------------------------\\\\
ln(32)-ln(8)\implies ln\left( \frac{32}{8} \right)\implies ln(4)$

podryga [215]3 years ago

8 0

Answer:

its ln 4, A

Step-by-step explanation:

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Quadrilateral jklm is a rhombus. the diagonals intersect at n. if the measure of angle jkl is 104°, find the measure of angle jk

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The diagram of rhombus JKLM is shown in the diagram below

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If angle JKL is 104°, the measurement of angle JKN is 104÷2=51°

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What is the y-coordinate of the solution for the system of equations? x−y=−11 y+7=−2x

ICE Princess25 [194]

Answer:

$y= 5$

Step-by-step explanation:

Given the system of equations:

$x-y=-11$

$y+7=-2x$

In order to find the y coordinate of the solution we must first find the solution to this system of equations. We first start by solving one of the given equations and then substitute the answer of that into the second equation and further solve to get the final answers.

$x=y=-11$