well i dont know much but i can say that logs can be used to covert multiplication and division problems into addition and subtraction problems. the log of a number to a given base is defined as the power to which tye base must be raised in order to give that number.
LOGARITHM: the exponent or power to which a stated number eg 102; called the base, is raised to yield a specific number. For example, in the expression 102 = 100, the logarithm of 100 to the base 10 is 2. This is written log10100 = 2. Logarithms were created to help simplify the arithmetical processes of multiplication, division, expansion to a power, and extraction of a root.
Wel wen we use logs,what we really mean is a number to a given base in which the power or exponent to base must be raised in order to produce the number.Take for example 100 = 10^2. We say that 10 is the base and 2 is the power In logs form it is writen as log10 100 = 2 This is read as ‘log to the base 10 of 100 is 2’.Dats wat i understand by logs.....
WEL I TINK IT IS IMPORTANT IN MATHS SINCE IT IS WIDELY USED IN ALL SORTS OF CALCULATIONS SUCH AS BUSINESS,ECONOMICS AND ESPECIALLY ENGINEERING.WEL SAY 4EXAMPLE WE HAVE 2^2 X 2^4, THE ANSWER IS 2^6.THIS IS OBTAINED BY ADDIN THE POWERS SINCE IT IS MULTIPLICATION HOWEVER 4ADDITION IT DOEN'T WORK DAT WAY SINCE THE BASE NUMBERS MUST BE THE SAME,WHICH IS THE SAME FOR LOGS.HOWEVER LOGS IS ONLY IN THE FORM OF BASE 10.CAN SUM1 HELP ME OUT HERE....NOT 2SURE....
i think Darky really said an important point. i totally agree and i think logs are used really to help simplify graphs. but is logs used for any other purpose? and how does it relate to real life??
logs is the power that a base must be raised to in order to get a number. It is important to maths because they are needed for graphs which are curved to make straight line.
A logarithm is the power to which a number must be raised in order to get some other number. For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100:
i definitely think logs ia an important aspect in maths because it helps simplify problems and many different work areas use it as a source of calculating problems and drawing graphs.
A logarithm is a function that is the inverse of an exponential function. For example, if ea=b then a is the natural (that is, base e) logarithm of b. In shorthand, a=ln b. The beauty of logarithms is that they magically turn multiplication into addition, and powers into multiplication. That's because of the way exponents work.
A log is an exponent because the log function is the inverse of the exponential function. The inverse function undoes the effect of the original function.
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well i dont know much but i can say that logs can be used to covert multiplication and division problems into addition and subtraction problems. the log of a number to a given base is defined as the power to which tye base must be raised in order to give that number.
ReplyDeleteLOGARITHM: the exponent or power to which a stated number eg 102; called the base, is raised to yield a specific number. For example, in the expression 102 = 100, the logarithm of 100 to the base 10 is 2. This is written log10100 = 2. Logarithms were created to help simplify the arithmetical processes of multiplication, division, expansion to a power, and extraction of a root.
ReplyDeleteWel wen we use logs,what we really mean is a number to a given base in which the power or exponent to base must be raised in order to produce the number.Take for example 100 = 10^2.
ReplyDeleteWe say that 10 is the base and 2 is the power In logs form it is writen as log10 100 = 2
This is read as ‘log to the base 10 of 100 is 2’.Dats wat i understand by logs.....
Logs is the power that a base must be raised to in order to get a number.
ReplyDeleteLogs is important to maths because they are needed for graphs which are curved to make a it a straight line.
ReplyDeleteWEL I TINK IT IS IMPORTANT IN MATHS SINCE IT IS WIDELY USED IN ALL SORTS OF CALCULATIONS SUCH AS BUSINESS,ECONOMICS AND ESPECIALLY ENGINEERING.WEL SAY 4EXAMPLE WE HAVE
ReplyDelete2^2 X 2^4, THE ANSWER IS 2^6.THIS IS OBTAINED BY ADDIN THE POWERS SINCE IT IS MULTIPLICATION HOWEVER 4ADDITION IT DOEN'T WORK DAT WAY SINCE THE BASE NUMBERS MUST BE THE SAME,WHICH IS THE SAME FOR LOGS.HOWEVER LOGS IS ONLY IN THE FORM OF BASE 10.CAN SUM1 HELP ME OUT HERE....NOT 2SURE....
i think Darky really said an important point. i totally agree and i think logs are used really to help simplify graphs. but is logs used for any other purpose? and how does it relate to real life??
ReplyDeleteto me logs are somthing like powers
ReplyDeletewell logs are exponents and exponents are logs that's th eway i see it
ReplyDeletethe basic stratergy in logs is 2^3=8 therefore log 8 base 2=3
ReplyDeleteis the basic strategy that or working out purely workable nos, or any of the rules miss gave us. im really unclear on this basic strategy????
ReplyDeleteWell i totally agree with darky,and the basic strategy is just to solve out the equation as a log or exponent.
ReplyDeletelogs is the power that a base must be raised to in order to get a number. It is important to maths because they are needed for graphs which are curved to make straight line.
ReplyDeleteBasic stratergy in logs is the rule
ReplyDelete2^3 = 8 ..... log [2] 8 = 3
Logs are related to exponent because of the rule which applies above
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteA logarithm is the power to which a number must be raised in order to get some other number. For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100:
ReplyDeletei definitely think logs ia an important aspect in maths because it helps simplify problems and many different work areas use it as a source of calculating problems and drawing graphs.
ReplyDeleteA logarithm is a function that is the inverse of an exponential function. For example, if ea=b then a is the natural (that is, base e) logarithm of b. In shorthand, a=ln b. The beauty of logarithms is that they magically turn multiplication into addition, and powers into multiplication. That's because of the way exponents work.
ReplyDeleteA log is an exponent because the log function is the inverse of the exponential function. The inverse function undoes the effect of the original function.
ReplyDeleteexponents - logarithms
ReplyDelete(All laws apply for any positive a, b, x, and y.)
x = by is the same as y = logbx
b0 = 1 is the same as logb1 = 0
b1 = b is the same as logbb = 1
b(logbx) = x is the same as logbbx = x
bx by = bx+y is the same as logb(xy) = logbx + logby
bx÷by = bx−y logb(x/y) is the same as = logbx − logby
(bx)y = bxy is the same as logb(xy) = y logbx
(logab) (logbx) = logax
logbx = (logax) / (logab)
logba = 1 / (logab)
strategies in logs
ReplyDeleteLog Rules:
1) logb(mn) = logb(m) + logb(n)
2) logb(m/n) = logb(m) – logb(n)
3) logb(mn) = n · logb(m)
In less formal terms, the log rules might be expressed as:
1) Multiplication inside the log can be turned into addition outside the log, and vice versa.
2) Division inside the log can be turned into subtraction outside the log, and vice versa.
3) An exponent on everything inside a log can be moved out front as a multiplier, and vice versa.