Question

Simplify: log2^25 + log 4^4

Answer 1

log 2^25 + log 4^5 my bad

Answer 2

\(\large log_225+log_45?\)

Answer 3

do you know the property of logarithm ?

Answer 4

log a^x = xlog a

for example

Answer 5

or

log a + log b = log (a*b)

do you know these ?

Answer 6

without them you not can solving exercises like this never

Answer 7

@hybrik what is your opinion please ?

Answer 8

Hi

Answer 9

@jhonyy9 Sorry I had to shower, Im good at math but my weakness is logarithims, I do know it

Answer 10

ok. so how can i help you ?

Answer 11

just dont know how to simplify

Answer 12

check please the above wrote property and try getting from there what formula you can us here ? wait

Answer 13

but sorry first in the left term there is 2 like base and in the right term there is 4 like base term so how can you make the 4 to be same with 2 using exponent ?

Answer 14

log 2^25 + log 4^5 =

4= 2^2 yes ?

Answer 15

yea

Answer 16

so 4^5 = (2^2)^5 = ?

Answer 17

yea

Answer 18

= 2^?

Answer 19

2log2^5?

Answer 20

first without log please answer this question

Answer 21

= 2^? one?

Answer 22

yes what number will get in place of ?

Answer 23

idk what your asking

Answer 24

2^? = 2^x?

Answer 25

(x^a)^b = x^(?)

Answer 26

property of exponents

Answer 27

idk

Answer 28

a x^b?

Answer 29

why ? you have said me that you dont know the logarithm and now you say that you dont know the property of exponents - so when wan you learning them ?

Answer 30

idk im in 6th grade

Answer 31

i teach myself, logx2b = xlogxb?

Answer 32

but you have learned about exponents - yes ?

Answer 33

yea

Answer 34

sorry but this logx2b i dont understand how you have wrote there

Answer 35

just continue ur x2ab thing

Answer 36

so when there are exponent on exponent so the exponents are coming multiplied

(x^a)^b = x^(a*b)

ok. ? remember and learn it please

Answer 37

oh yea i know that

Answer 38

misread it my bad

Answer 39

now this is easy to say that i know

sorry

Answer 40

so how you can continue it your exercise ?

Answer 41

idk

Answer 42

what you have got ? in the last step ?

Answer 43

2log2^5

Answer 44

cause log4 ^ 5 = log 2^2 ^5

Answer 45

and you can move the 2 to have 2log2 ^ 5

Answer 46

log 2^25 + log 4^5 =

no

first i have said that without logarithm

4^5 = 2^(?)

Answer 47

4^5 = 2^2^5

Answer 48

(2^2)^5

Answer 49

2^(?)

Answer 50

because in the first term there is 2 on exponent so you need using in the second 2 on exponent - do you understand it now why ?

Answer 51

2^2^5 = 2^(2*5) =?

Answer 52

yea

Answer 53

wait no

Answer 54

wait yes

Answer 55

please write what i ask you

Answer 56

2^(2*5) = ?

Answer 57

oh i didnt see that message sorry

Answer 58

1024

Answer 59

nonono

Answer 60

the base need being 2

Answer 61

it is already 2^10?

Answer 62

exactly

Answer 63

log 2^25 +log 2^10 = log ?

than you know this formula log a +log b = log a*b

Answer 64

yeah

Answer 65

uhm = log 2 250

Answer 66

where log 2 ^10 come from

Answer 67

did u move the 2 on the 5, wouldnt you move it to be 2log2^5 and not log2^10?

Answer 68

check above 4^5 = 2^2^5 = 2^(2*5) = 2^10

yes ?

Answer 69

yes

Answer 70

because in the first term there is 2^25 - yes ?

Answer 71

so please

log 2^25 +log 2^10 = log ?

use the above wrote formula please

Answer 72

wait r u simplifying log 4^5 or log 2^25?

Answer 73

@jhonyy9 i said log 2 250

Answer 74

why ?

how you know a^x *a^y = ?

Answer 75

u multiply the exponents when adding, so log 25*10 = log 2 250?

Answer 76

no

multiplie the exponents just when there are exponents on exponents

Answer 77

in this case of multiplie the same terms with exponents just assum the exponents

property of exponents - sorry what you need learning again i see

Answer 78

so how will be ?

Answer 79

2^25 *2^10 = 2^?

Answer 80

please cooperate because i need to go

Answer 81

where are you from please ? because here in Europe is in the night 3,12

Answer 82

are you here ?

Answer 83

was eating sorry?

Answer 84

@jhonyy9 2^35

Answer 85

ok

Answer 86

so now there you have got log 2^35 = ?

using this formula log a^x = xlog a

Answer 87

35 log2?

Answer 88

35log 2 hence please

because than you write 35 log2

so this mean 35 space log base 2 of nothing

Answer 89

ok, its not an answer choice so its wrong?

Answer 90

r u sure u can just do 2log2^5 + log2^25

Answer 91

what are the choices ?

Answer 92

\[2/5 \log_{5}2 , 2/5 \log_{2}5, 5/2\log_{5}2, 5/2\log_{2}5 \]

Answer 93

ok but till this moment you dont used nothing base of logarithm - why ?

Answer 94

did u read my question wrong

Answer 95

\[\log_{2}25 + \log_{4}5\]

Answer 96

than you check in the first answer @jdoe have asked you how is this exercise correct ?

Answer 97

thats my question