give the definition of logarithms a logarithm to


Give the Definition of Logarithms ?

A logarithm to the base a of a number x is the power to which a is raised to get x.

In equation format:

If x = ay, then loga x = y.

Example 1: Convert the logarithmic equation log3 9 = 2 to an exponential equation.
Solution:
log3 9 = 2          32 = 9 By the definition of logarithms.
Example 2: Convert the logarithmic equation log2 16 = 4 to an exponential equation.
Solution:
log2 16 = 4         24 = 16 By the definition of logarithms.
Example 3: Convert the logarithmic equation log5 1/25 = -2 to an exponential equation.
Solution:
log 5 1/25 = -2   5-2 = 1/25 By the definition of logarithms.

 

 

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