2 years ago

Write the logarithmic expression as a single logarithm.

Mathematics

1 answer:

Gelneren [198K]2 years ago

5 0

Answer:

$\log_48$

Step-by-step explanation:

$\log_432-\log_4(4) = \log_4(\frac{32}{4} )=\log_48$

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Given that PS is the perpendicular bisector of QR, PQ=3.5m+18, and PR=6m+3, identify PQ.

kolbaska11 [484]

Answer:

$PQ=39\ units$

Step-by-step explanation:

we know that

$QS=RS$ ----> equation A

Applying Pythagoras Theorem

$PQ^2=SP^2+QS^2$ -----> equation B

$PR^2=SP^2+RS^2$ -----> equation C

substitute equation A in equation C

$PR^2=SP^2+QS^2$

we have that

$PR^2=PQ^2$

$PR=PQ$

substitute the given values

$6m+3=3.5m+18$

Solve for m

$6m-3.5m=18-3$

$2.5m=15$

$m=6$

Find the value of PQ

$PQ=3.5m+18$

substitute the value of m

$PQ=3.5(6)+18$

$PQ=39\ units$

8 0

4 years ago

Read 2 more answers

How many triangles can be constructed with sides measuring 14cm, 8 cm, and 5 cm?

Kryger [21]

Answer: B

Explanation: No triangle can be formed.

According to the triangle inequality theorem, the sum of any two sides must be greater or equal than the length of the third side.

Here, the sides are 14 cm, 8 cm, and 5 cm.
14cm + 8 cm = 22 cm > 5cm (theorem followed)
14 cm + 5 cm = 19 cm > 8 cm (theorem followed)
8 cm + 5 cm = 13 cm < 14 cm (theorem not followed)

Since, the triangle inequality theorem is not followed, Hence, no triangle can be formed.

8 0

3 years ago

Find n.<br> 12/18 = n/36<br><br> n =

Semenov [28]

Answer:

n =24

Step-by-step explanation:

pretend n is x its just a normal fraction lol

4 0

3 years ago

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