Inverse Relationship Between Logarithmic and Exponential Functions

There is inverse relationship between logarithmic and exponential functions given by expressions below:

If,

y = a^x

then,

x = log_a(y)

That is, if x raise to power a is y, then log to base a of y is x.

Example 1:

If 1000 = 10³

then, log₁₀(1000) = 3

Example 2:

If 9 = 3²

then, log₃(9)  = 2

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