The relation y= logzx implies
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The relation y = logz(x) can be rewritten in exponential form as z^y = x. This means that z raised to the power of y is equal to x. In other words, if we know the value of x and z, we can find the value of y by taking the logarithm of x with base z.
As per the question given,
For example,
if z = 2 and x = 8,
then y = log2(8) = 3,
since 2 raised to the power of 3 is equal to 8.
Similarly, if z = 10 and x = 100,
then y = log10(100) = 2,
since 10 raised to the power of 2 is equal to 100.
A logarithmic function is a useful tool in mathematics, especially in areas such as finance, science, and engineering. It allows us to solve equations involving exponents and to represent certain types of data on a logarithmic scale, where each unit increase represents a constant percentage increase rather than a constant numerical increase.
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