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allochka39001 [22]
3 years ago
5

Write log8 3 as a logarithm of base 5.

Mathematics
2 answers:
NISA [10]3 years ago
6 0

Answer:

log_8(3)=\frac{log_5(3)}{log_5(8)}

Step-by-step explanation:


The  given logarithmic expression is


log_8(3)


We read this logarithmic expression as "The logarithm of 3 to base 8".


We want to rewrite so that the base is 5.


Recall that;

log_a(b)=\frac{log_c(b)}{log_c(a)}


This is called the change of base formula.


We apply this formula to get;

log_8(3)=\frac{log_5(3)}{log_5(8)}



denis-greek [22]3 years ago
5 0
The answer is log5) 3) log5)8
Example a= 8, x=3, b=5
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Find the absolute maximum and minimum values of the following function on the given interval. If there are multiple points in a
Bond [772]

f(x)=3\sin x+3\cos x\implies f'(x)=3\cos x-3\sin x

f has critical points where f'=0:

3\cos x-3\sin x=0\implies\cos x=\sin x\implies\tan x=1\implies x=\pm\dfrac\pi4+2n\pi

where n is any integer. We get solutions in the interval \left[0,\frac\pi3\right] for n=0, for which x=\frac\pi4.

At this critical point, we have f\left(\frac\pi4\right)=3\sqrt2\approx4.243.

At the endpoints of the given interval, we have f(0)=3 and f\left(\frac\pi3\right)=\frac{3+3\sqrt3}2\approx4.098.

So we have the extreme values

\max\limits_{x\in\left[0,\frac\pi3\right]}f=3\sqrt2

\min\limits_{x\in\left[0,\frac\pi3\right]}f=3

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3 years ago
10. Alice Nako's monthly credit card statement has a previous balance of
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3 years ago
What is the lcm of 6 and 8
Dafna1 [17]

Answer:

Explanation:

Method 1

First, list the multiples of both numbers:

undefined

To find the lowest common multiple (LCM) of 6 and 8, first express the numbers as a product of its prime factors.

\begin{gathered} 6=2\times3 \\ 8=2\times2\times2=2^3 \end{gathered}

Next, pick the highest powers for each of the numbers:

\begin{gathered} \text{LCM}=2^3\times3 \\ =8\times3 \\ =24 \end{gathered}

5 0
1 year ago
Please help I’m really confused. I will give BRAINLIEST!
stiv31 [10]

Answer:

t = 115

s = 60

g(x) = 10/23x - 10

Step-by-step explanation:

find s first since its easy (it goes up by 10's)

then take a pair from the table that corresponds such as 69 for x and 30 for g(x) and turn them into a fraction:

69/30

do the same for t:

t/50

equal 69/30 to t/50 and solve using cross multiplication:

69/30 = t/50 =  

30t = 3450

/30      /30

t = 115

honestly had a little hard time finding the equation but basically I simplified the fraction 30/69 to get 10/23 for slope and then I insert a corresponding x and y value into y= mx+b with the slope value to find b.

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2 years ago
Please help answer questions 1 and 2!
Mariulka [41]

Answer:

1:A

3:C

hope this help

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3 years ago
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