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It lets you work backwards through a calculation. It lets you undo exponential effects. Beyond just being an inverse operation, logarithms have a few specific properties that are quite useful in their own right: Logarithms are a convenient way to express large numbers.

Forming an Equation from a Log Graph - YouTube YouTube Start of suggested clip End of suggested clip Let's look at this one this is the x-intercept. This is one zero. And if I put that in it doesn'tMoreLet's look at this one this is the x-intercept. This is one zero. And if I put that in it doesn't tell me what my base number is because well I'll show you we Y is zero.

Two kinds of logarithms are often used in chemistry: common (or Briggian) logarithms and natural (or Napierian) logarithms. The power to which a base of 10 must be raised to obtain a number is called the common logarithm (log) of the number.

Logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logb n.

The logarithmic function for x = 2y is written as y = log2 x or f(x) = log2 x. The number 2 is still called the base. In general, y = logb x is read, ?y equals log to the base b of x,? or more simply, ?y equals log base b of x.? As with exponential functions, b > 0 and b ? 1.... x = 3yy?11031921 more row

Equations from Semi-Log and Log-Log Plots - YouTube YouTube Start of suggested clip End of suggested clip Using the properties of logarithms and powers it always will transform to y equals 10 to the powerMoreUsing the properties of logarithms and powers it always will transform to y equals 10 to the power of the y-intercept times X to the power of the slope.

Logarithm Base Properties Product rule: am. an=a. m+n Quotient rule: am/an = a. m-n Power of a Power: (am)n = a. mn