How do I calculate the log of a number?
To calculate the logarithm of any number, simply follow these simple steps:Decide on the number you want to find the logarithm of.
Decide on your base – in this case, 2.Find the logarithm with base 10 of number 100.
Find the logarithm with base 10 of number 2.More items…•.
How do you find the mean temperature difference of a log?
by definition given above, LMTD for counter current flow = (60-50) / ln(60/50) = 10 / 0.1823 = 54.850C. For co-current heat exchanger, ΔT1 = TH1 – TC1 = 100 – 30 = 700C (At first end hot and cold fluids enter the heat exchanger.) (At the other end hot and cold fluids exit the heat exchanger.)
What is the log of a number?
The logarithm, or log, is the inverse of the mathematical operation of exponentiation. This means that the log of a number is the number that a fixed base has to be raised to in order to yield the number. Conventionally, log implies that base 10 is being used, though the base can technically be anything.
What are the log rules?
Basic rules for logarithmsRule or special caseFormulaQuotientln(x/y)=ln(x)−ln(y)Log of powerln(xy)=yln(x)Log of eln(e)=1Log of oneln(1)=02 more rows
What exactly is log?
A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 102 = 100.
How do you find the log?
The relationship between ln x and log x is: ln x = 2.303 log x Why 2.303? Let’s use x = 10 and find out for ourselves. Rearranging, we have (ln 10)/(log 10) = number….CALCULATIONS INVOLVING LOGARITHMS.Common LogarithmNatural Logarithmlog x/y = log x – log yln x/y = ln x – ln ylog xy = y log xln xy = y ln x2 more rows
What is the value of a log?
Value of Log 1 to 10 for Log Base 10Common Logarithm to a Number (log10 x)Log ValueLog 10Log 20.3010Log 30.4771Log 40.60206 more rows
What does it mean to simplify a log?
When they tell you to “simplify” a log expression, this usually means they will have given you lots of log terms, each containing a simple argument, and they want you to combine everything into one log with a complicated argument. “Simplifying” in this context usually means the opposite of “expanding”.