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Ipatiy [6.2K]
3 years ago
14

Suppose that ln 2=a and ln3=b. Use properties of logarithms to write each logarithm in terms of a and b

Mathematics
1 answer:
Anettt [7]3 years ago
3 0
The solution to the problem is as follows:

<span>ln(0.5) could be written as ln(2) - ln(2) - ln(2) = a - a - a = -a 
</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Find the missing lengths:<br> LO=5 and OK=4, find OH and KH.
hodyreva [135]

Answer:

The length of KH is 6 units and OH is 6.3 units.

Step-by-step explanation:

Given the figure with lengths LO=5 and OK=4. we have to find the length of  OH and KH.

In ΔLOH

By Pythagoras theorem

LH^2=LO^2+OH^2\\\\LH^2=5^2+OH^2 → (1)

In ΔKOH,

KH^2=OH^2+OK^2\\\\KH^2=OH^2+4^2  → (2)

In ΔKHL,

KL^2=LH^2+KH^2

Using eq (1) and (2), we get

KL^2=5^2+OH^2+OH^2+4^2

9^2=25+2OH^2+16

⇒ 2OH^2=81-25-16=40

⇒ OH=\sqrt{20}=6.324\sim6.3units.

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KH^2=20+4^2=36

⇒ KH=6 units.

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