## 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.

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Decide on your base – in this case, 2.Find the logarithm with base 10 of number 100.

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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”.