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Mrrafil [7]
3 years ago
8

Evaluate log (base 9) 27. Can someone explain this one for me so i could do some tasks on my own?

Mathematics
2 answers:
Ksenya-84 [330]3 years ago
6 0
log_927=log_93^3=3log_93=3log_9\sqrt9=3log_99^\frac{1}{2}\\\\=\frac{1}{2}\cdot3log_99=\frac{3}{2}
Law Incorporation [45]3 years ago
4 0
You would use some properties of the logarithm. First, log_927=log_{3^2}27=\frac{1}{2}log_327. So, now you have log_327 to calculate. It's log_33^3=3, so the final result is \frac{1}{2}*3=\frac{3}{2}
Hope it helps.
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For what integer value of x is 4x – 2 &gt;17 and 3x +5&lt;24 ?<br><br> Help me please !!
fgiga [73]

Answer:

The integer values of x are 5 and 6

Step-by-step explanation:

we have

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4x-2>17

solve for x

adds 2 both sides

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solution A is the interval (4.75,∞)

Inequality B

3x+5

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x

solution B is the interval (-∞,6.33)

The solution of the inequality A and the inequality B is

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3 years ago
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Step-by-step explanation:

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jolli1 [7]
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JulsSmile [24]
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A motorboat takes 5 hours to travel 200 miles going upstream. The return trip takes 4 hours going downstream. What is the rate o
dsp73

Answer:

rate of motorboat: b

rate of current: c

So the rate the boat travels upstream is $b - c$, and the rate it travels downstream is $b + c$

Step-by-step explanation:

d = rt

200 = (b - c)\cdot 5

200 = (b + c)\cdot 4

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Adding these equations, we get:

2b = 90

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So

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Hope this helps :)

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