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disa [49]
2 years ago
13

Write the expression as a single logarithm

Mathematics
1 answer:
Yakvenalex [24]2 years ago
4 0

\log _a(6w+1)^{7} + \log _a(w+7)^{\frac{1}{5}} \\ \log _a(6w+1)^{7} + \log _a\sqrt[5]{(w+7)}\\\log _a((6w+1)^{7} (\sqrt[5]{(w+7)}))

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URGENT HELP ME PLEASE
Trava [24]

Answer:

(a)\log_3(\dfrac{81}{3})=3

(b)\log_5(\dfrac{625}{25})=2

(c)\log_2(\dfrac{64}{8})=3

(d)\log_4(\dfrac{64}{16})=1

(e)\log_6(36^4)=8

(f)\log(100^3)=6

Step-by-step explanation:

Let as consider the given equations are \log_3(\dfrac{81}{3})=?,\log_5(\dfrac{625}{25})=?,\log_2(\dfrac{64}{8})=?,\log_4(\dfrac{64}{16})=?,\log_6(36^4)=?,\log(100^3)=?.

(a)

\log_3(\dfrac{81}{3})=\log_3(27)

\log_3(\dfrac{81}{3})=\log_3(3^3)

\log_3(\dfrac{81}{3})=3        [\because \log_aa^x=x]

(b)

\log_5(\dfrac{625}{25})=\log_5(25)

\log_5(\dfrac{625}{25})=\log_5(5^2)

\log_5(\dfrac{625}{25})=2        [\because \log_aa^x=x]

(c)

\log_2(\dfrac{64}{8})=\log_2(8)

\log_2(\dfrac{64}{8})=\log_2(2^3)

\log_2(\dfrac{64}{8})=3        [\because \log_aa^x=x]

(d)

\log_4(\dfrac{64}{16})=\log_4(4)

\log_4(\dfrac{64}{16})=1        [\because \log_aa^x=x]

(e)

\log_6(36^4)=\log_6((6^2)^4)

\log_6(36^4)=\log_6(6^8)

\log_6(36^4)=8            [\because \log_aa^x=x]

(f)

\log(100^3)=\log((10^2)^3)

\log(100^3)=\log(10^6)

\log(100^3)=6            [\because \log10^x=x]

5 0
3 years ago
Which pair of numbers has a product of -24 and a sum of 10?
muminat

Answer:

-2;12

Step-by-step explanation:

it's too easy!

6 0
2 years ago
Read 2 more answers
A landscape plan includes a rectangular flowers bed that is surrounded the wood in planks. In the drawing, the rectangular flowe
forsale [732]

Answer:

The perimeter of the drawing: 18 inches

The perimeter of the actual flower bed: 540 inches

If they were multiplied by 24 instead the actual perimeter of the flower bed would be 432 inches. The effect is that it decreases by 108 inches.

Step-by-step explanation:

Taking the 4 inches and 5 inches and multiplying them by 30 gets 120 by 150. If its a rectangle we will add together all 4 sides to get the perimeter of the actual one.

5 0
2 years ago
Which must be true?<br> OAN LB<br> O NCBZ<br> O ZBMZ = 2CMZ<br> O ZZBM = ZZCM
andrew11 [14]

Answer:

your answer to your question is an lb

3 0
2 years ago
If tan a =<br> 1, find a.
Artist 52 [7]

Answer:

a=45

Step-by-step explanation:

tan a= 1

tan a= tan45

a=45

3 0
2 years ago
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