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steposvetlana [31]
3 years ago
13

Select the equivalent expression.

Mathematics
1 answer:
posledela3 years ago
4 0

Answer:

its a

Step-by-step explanation:

a x 4 = a^4

b^3 x 4 = b^12

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How do I do this qn?
denis-greek [22]
You can take the log of the left and right hand side, and then apply the <span>logarithm rules:

log(a</span>ˣ) = x·log(a)
log(ab) = log(a) + log(b)

log(9^(x-1) * 2^(2x+2)) = log(6^(3x))
log(9^(x-1)) + log(2^(2x+2)) = 3x log(6)
(x-1) log(9) + (2x+2) log(2) - 3x log(6) = 0
x(log9 + 2log2 - 3log6) = log9 - 2log2
x = (log9 - 2log2) / (log9 + 2log2 - 3log6)

simplifying by writing log9 = 2log3 and log6 = log2+log3

x= 2(log3 - log2) / (2log3 + 2log2 - 3log2 - 3log3) = 
x= -2(log3 - log2) / (log3 + log2) = -2 log(3/2) / log(6)

So 6^x = 4/9
3 0
3 years ago
Write an equation of the line.<br><br><br><br> y = _____<br><br><br><br> Use x as your variable.
muminat

Answer:

y= -2x+15

Step-by-step explanation:

5 0
3 years ago
A deep sea diver descends below the surface of the water at a rate of 60 feet each minute. What is the depth of the diver after
Mashutka [201]

Answer:

600 feet

Step-by-step explanation:

60 feet per minute

m = minute

60m

60(10)

600 feet

8 0
3 years ago
Which is the function represented by the table
mestny [16]

Answer:

the first function is correct

8 0
3 years ago
Please help me, what is m&lt;4?
aniked [119]

Answer:

well if you look at it there is no m so how would you even know...

4 0
3 years ago
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