Question

http://prntscr.com/nmhfue

Answer 1

@Narad

Answer 2

xlog7=log124
x=log124/log7=2.48

Answer 3

How can we check that? because it says we also need to check it

Answer 4

ok
\[7^{2.48}=124.7\]

Answer 5

okay

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Answer 6

(x-3)log(6)=log(52)
x-3=log(52)/log(6)
x-3=2.21
x=5.21

Answer 7

okay how about when we check it?

Answer 8

\[6^{5.21-3}=52.4\]

Answer 9

okay

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Answer 10

\[(x+4)\log _{10}(10)=\log _{10}1000\]

Answer 11

x+4=3
x=-1

Answer 12

Check : \[10^{-1+4}=10^{3}=1000\]

Answer 13

Okay

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Answer 14

\[\log _{5}x=3\]
\[5^{3}=x\]
\[x=125\]

Answer 15

check?

Answer 16

\[\log _{5}125=\log _{5}5^{3}=3\]

Answer 17

okay

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Answer 18

\[\log _{2}(x-3)=5\]
\[x-3=2^{5}=32\]
\[x=32+3=35\]
Check
\[\log _{2}(35-3)=\log _{2}32=\log _{2}2^{5}=5\]

Answer 19

okay

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Answer 20

\[3\log _{6}(x+1)=9\]
\[\log _{6}(x+1)=3\]
\[x+1=6^{3}=216\]
x=215
check
\[3\log _{6}(215+1)=3\log _{6}216=3\log _{6}6^{3}=3*3=9\]

Answer 21

Okay

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Answer 22

\[\log _{5}(2x)-5=-4\]
\[\log _{5}(2x)=-4+5=1\]
\[2x=5^{1}=5\]
x=2.5
Check\[\log _{5}(2*2.5)-5=\log _{5}5-5=1-5=-4\]
LHS =RHS

Answer 23

Okay

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Answer 24

\[3(5)^{2x-3}=6\]
\[3*5^{2x-3}=6\]
\[5^{2x-3}=6/3=2\]
\[(2x-3)\log5=\log2\]
\[2x-3=\log(2)/\log5=0.43\]
\[2x=3.43\]
x=1.72
Check
\[3*5^{2*1.72-3}=5.99\]
LHS =RHS

Answer 25

Okay

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Answer 26

\[2^{x-4}+10=22\]
\[2^{x-4}=22-10=12\]
\[x-4=\log12/\log2\]
x-4=3.58
x=7.58
check
\[2^{7.58-4}+10=22\]
LHS = RHS

Answer 27

Got it

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Answer 28

\[\log _{3}3+\log _{3}x=\log _{3}(3x)=5\]
\[3x=3^{5}=243\]
x=243/3=81
Check
\[\log _{3}3+\log _{3}81=\log _{3}243=\log _{3}3^{5}=5\]
LHS=RHS

Answer 29

okay can you help me with a couple more pls?

Answer 30

yes

Answer 31

http://prntscr.com/nmim3g

Answer 32

True

Answer 33

http://prntscr.com/nmimfe

Answer 34

2

Answer 35

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Answer 36

-4.7

Answer 37

http://prntscr.com/nmin8c

Answer 38

\[0.252^{x}=41\]
\[xlog(0.252)=\log41\]
\[x=\log41/\log0.252=-2.69\]
Check
\[0.252^{-2.69}=40.8\]
LHS=RHS

Answer 39

Option D

Answer 40

Got it

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Answer 41

\[2lnx+2=1\]
\[2lnx=2-1=1\]
\[lnx=1/2\]
\[x=e ^{1/2}\]
x=1.65
This does not fit in the options

Answer 42

hmm

Answer 43

I make the corrections
\[lnx=-1/2\]
\[x=e ^{-1/2}\]
x=0.61
answer is option B

Answer 44

Got it

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Answer 45

\[x=\log _{3}15\]
\[=\ln(15)/\ln(3)=2.46\]
answer is option C

Answer 46

http://prntscr.com/nmnoyu

Answer 47

@Narad

Answer 48

\[logx=\log(4x-9)\]
\[x=4x-9\]
\[3x=9\]
x=3
Check
\[\log(4*3-9)=\log3=logx\]
RHS=LHS

Answer 49

Answer is option A

Answer 50

okay

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Answer 51

@Narad

Answer 52

\[7*6^{3.05}=1653.7 \neq 64\]
The answer is FALSE

Answer 53

okay
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these are right?^

Answer 54

Nº2 correct
nº3 correct
nº4 correct

Answer 55

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Answer 56

nº1 true

nº2 if you write y=1/x as \[y=x ^{-1}\]
you can sider y=1/x as an exponential function, TRUE

Answer 57

nº2 no because it's not something to the power of x, it's FALSE

Answer 58

makes sense

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Answer 59

nº3 and nº4 are both TRUE

Answer 60

okay

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Answer 61

nº12
\[y=Ae ^{bx}\]
\[b <1\]
No it's not an exponentila decay
FALSE
nº13
option C
reflection in the x axis and a shift downwards by 2 units

Answer 62

Got it

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Answer 63

nº16 the domain is
\[\mathbb{R} \]
option A

nº17
option C
\[y > 2\]

nº18
Population is
\[p=567(1+0.0015*9)=574\]
if it's calculated like a simple interest
otherwie,
\[p=567(1+0.0015)^{9}=574\]
it's the same answer

Answer 64

Got it

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Answer 65

nº19
the population is
\[P=100000*(1+0.045)^{5}=124618\]
Nº18 there is a correction
\[p=567*(1+0.015)^{9}= 648\]

Answer 66

okay got it

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Answer 67

\[y=2^{x+1.6}\]

Answer 68

okay

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Answer 69

\[y=(1/2)^{x-1}\]

Answer 70

okay

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Answer 71

\[f(x)=\log(x)\]
\[g(x)=alog(x)\]
The answer is option D

Answer 72

okay

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Answer 73

nº26 The domain is option B
nº27 The range is all real numbers, option A
nº28\[1.5^{3.8}=4.7\neq7\]
The answer is FALSE
nº29
\[x=\log _{2}100 = \ln100/\ln2=6.64\]

Answer 74

okay

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Answer 75

option B

Answer 76

got it

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Answer 77

nº35
A horizontal shift by 3 units to the right and a vertical shift up by 5 units

Answer 78

nº36
a horizontal shift by 3 units to the left and a vertical shift up by 2 uints

Answer 79

okay

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Answer 80

nº37
3399 $
nº38
\[f(x)=logx\]
\[g(x)=\log(x-h)\]
The answer is option C
nº39
The domain is x>-3

Answer 81

okay

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Answer 82

nº40
\[2.4^{3.75}=26.7 \neq9\]
The answer is FALSE
nº41
\[3^{x+1}=500\]
\[x+1=\log500/\log3=5.66\]
x=5.66-1=4.66

Answer 83

okay thank you so much for the help

Answer 84

You are welcome