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zlopas [31]
3 years ago
9

Express each logarithm in terms of In 2 and In 5.

Mathematics
1 answer:
Sladkaya [172]3 years ago
3 0

Answer:

5ln2-3ln5

2ln5-ln2

Step-by-step explanation:

∵ 32=2^{5}

∵ 125=5^{3}

∵ ln\frac{32}{125}=ln\frac{2^{5}}{5^{3}}

∴ ln2^{5}-ln5^{3}=5ln2-3ln5

∵ 12.5=\frac{125}{10}=\frac{25}{2}=\frac{5^{2}}{2}

∴ ln12.5=ln\frac{5^{2}}{2}

∴ ln5^{2}-ln2=2ln5-ln2

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3 years ago
If two distinct planes intersect , then their intersection is a line . Which geometry term does the statement represent
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POSTULATE

Step-by-step explanation:

<em>A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven </em>

<em> </em>

<em>  </em>

<em> </em>

<em>In geometry, the theorem is considered valid or correct with which its assertion is practically not refuted by almost anyone, whether it is really true or not. </em>

<em> </em>

<em>  </em>

<em> </em>

<em>This, in practice, implies that all students of the subject share the same criteria on the theory. Thus, the postulates, in short, have the following characteristics: </em>

<em> </em>

<em>  They are presumed true by most of the scholars in the field. </em>

<em> </em>

<em>Its contradiction goes against the very essence of the subject. </em>

<em> </em>

<em>Postulate 6: If two planes intersect, then their intersection is a line.</em>

<em />

<em>See Attachment for Details ^^</em>

<em>The image attached  represents the statement given in the question (If two distinct planes intersect, then their intersection is a line)</em>

<em>Therefore</em><em>, </em>

<em> </em>

<em>The Geometry term that represents the statement above is POSTULATE</em>

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Answer:

Step-by-step explanation:

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