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zvonat [6]
3 years ago
14

Let logba=3 logbc=2 logbd=5 what is the value of logba^3d^4/c^2

Mathematics
1 answer:
myrzilka [38]3 years ago
8 0
Use:\\\log_ax+\log_ay=\log_a(xy)\\\\\log_ax-\log_ay=\log_a\dfrac{x}{y}\\\\\log_ax^n=n\cdot\log_ax

\log_ba=3;\ \log_bc=2;\ \log_bd=5

\log_b\dfrac{a^3d^4}{c^2}=\log_b(a^3d^4)-\log_bc^2=\log_ba^3+\log_bd^4-\log_bc^2\\\\=3\log_ba+4\log_bd-2\log_bc=3\cdot3+4\cdot5-2\cdot2=9+20-4=25

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The amount he had to pay if he have to purchase a laptop today that is the same value as the one he saw in the ad is $ 390.24.

Given that:-

Price of the laptop after 1 year = $ 400.

Inflation rate = 2.5 %

We have to find the amount he had to pay if he have to purchase a laptop today that is the same value as the one he saw in the ad.

Let the price he had to pay be x.

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x + (x*(2.5)*1)/100 = 400

x(1 + 1/40) = 400

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x = 400*40/41 = $ 16000/41 = $ 390.24.

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1 year ago
'Five times a number minus eight is 17.5.
11Alexandr11 [23.1K]

Answer:

5.1

Step-by-step explanation:

you need to work backwards.

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8 0
3 years ago
The math club wants to order t-shirts to recognize students who improved their performances in algebra I. Hot shirt charges $12.
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Step-by-step explanation:


3 0
3 years ago
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You increase the size of a page by 30%. Then you decrease it by 30%. What is the size of the page now?
kotegsom [21]
Lets use 1 to solve this problem because it is easiest to show. 

Multiply 1 by 1.3 for a 30% increase (1*1.3=1.3). 

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Therefore the page had a 9% reduction from its original size or is 91% of its original size. 
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3 years ago
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If f(x)=x^2 + 8x find f(d-3)
pogonyaev
F(x)=x^2 +8x
f(d-3) basically what we get from this is that the x value is d-3
to find f(d-3) simply plug in d-3 for every x
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that would be one form of the answer, but we can also continue multiplying it out
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add like terms
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have a nice day and i hope this helps :)
7 0
3 years ago
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