Question

log10^2 +16log10^16/25+12log10^25/24+7log10^81/80+log10^25/49+2log10^7 =?.........plz note that log 10^2 is not square of 10 it means that log 2 to the base 10......

Answer 1

the answer is 2 log5 + 1 plz solve for it

Answer 2

Can you please post a photo or something of the question?

Answer 3

im not sure i can understand the question

Answer 4

i can't see what's the base. :(

Answer 5

the base for all log is 10

Answer 6

umm, okay.. let me see ..

Answer 7

http://markvestal.com/sites/default/files/images/ExpLogRules.gif

Here are the rules.

Answer 8

thaznnz did u solve it i solved by using these laws but i did nt got it

Answer 9

Umm, im trying to solve.. can you please hold on for time? i will do it in my book.

Answer 10

ok

Answer 11

i will wait

Answer 12

im trying to solve but i dont get what we have to do with the numbers before log. like16, 12 etc

Answer 13

@satellite73

Answer 14

i can't figure it out sorry.

Answer 15

@satellite73

Answer 16

@stormfire1 plzz help

Answer 17

i think there is some confusion about the notation

Answer 18

wats the doubt in question

Answer 19

"log 2 to the base 10" does not make any sense
is it
\[\log_2(10)\] or
\[\log_{10}(2)\]

Answer 20

second one.

Answer 21

second one is the question

Answer 22

\[\log(2)+16\log(16/25)+12\log(25/24)+7\log(81/80)+\log(25/49)+2\log(7)\]

Answer 23

\[\checkmark\]

Answer 24

\[\log(2)+16\log(16/25)+12\log(25/24)\]
\[+7\log(81/80)+\log(25/49)+2\log(7)\]

Answer 25

Yes that.

Answer 26

book keeping

Answer 27

for example
\[\log(25/49)=2\log(5)-2\log(7)\] then \(2\log(7)-2\log(7)=0\)

Answer 28

i can write it all out of you like, but that is the idea.
write as a bunch of different logs and combine like terms. boring exercise, but that is what you have to do

Answer 29

@satellite73 7log(81/80) how to expand

Answer 30

plzz one more example plz

Answer 31

\[7\log(81/80)=7\log(9^2/16\times 5)=7[\log(3^4)-\log(16\times 5)]\]
\[=7[4\log(3)-(\log(2^4\times 5))]\]
\[=7[4\log(3)-4\log(2)-\log(5)\]
\[=28\log(3)-28\log(2)-7\log(5)\] for example
this sucks

Answer 32

you have to do this with every term, and then add them up at the end

Answer 33

\[16\log(16/25)=16(\log(2^4/5^2)=16[4\log(2)-2\log(5)]=64\log(2)-32\log(5)\] etc etc etc

Answer 34

your math teacher must hate you

Answer 35

why??

Answer 36

to make you do all this book keeping
might as well be doing your tax returns

Answer 37

@satellite73 r u a student