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wel
2 years ago
5

solve the logarithmic equation using properties of logs. Round to the nearest thousandth if necessary log 2x+logx=2

Mathematics
1 answer:
Rudiy272 years ago
6 0
Yee
(apologies in advance for foematring. I'm on mobile)

log rules

if no base is stared assume base 10

log_a(b)=c means a^c=b

log(a)+log(b)=log(ab)

if a^b=c^b and b=b then a=c

so
log(2x)+log(x)=2
log_10(2x^2)=2
10^2=2x^2
100=2x^
50=x^2
x = \pm  5\sqrt{2}
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Answer:

2√5

Step-by-step explanation:

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2 years ago
Julia has 2 identical rooms in her house. If each room measures 8 fee on one side and 12 feet on another, what is the total area
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3 years ago
Q. A room measure 3m 55cm by 2m 25 cm. What is the perimeter of the room?
Bond [772]

Answer:

100cm = 1m

Thus, one more step should be added to your working to arrive at the final answer:

Perimeter

= 10m 160cm

= 11m 60cm

This is because 160cm= 100cm +60cm, which is also equivalent to 1m 60cm.

Alternative working:

Convert all the units to cm first.

\boxed{1 \: m= 100 \: cm}

Length

= 5m 55cm

= 300cm +55cm

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= 2(length +breadth)

= 2(355 cm +225 cm)

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= 1160 cm

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From the second last step to the last step, you could divide 1160 by 100 to find how many meters are there. You would get a quotient of 11 and a remainder of 60. Since this 60 cannot be changed into meters as a whole number, we can leave it as 11m 60cm. Otherwise, it is also correct to leave it as 1160cm or 11.6m unless otherwise stated.

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2 years ago
Arithmetic of Functions problem.
lidiya [134]

Answer:

(f o g)(4) = 45

Step-by-step explanation:

f(x)=4x+1

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x=4→g(4)=4²-5

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Replacing g(4)=11

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f(11)=44+1

f(11)=45


Replacing f(11)=45:

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3 years ago
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