Question

Convert the following functions.

Answer 1

The logarithmic function is the inverse of the exponential function

The logarithmic equivalent of the exponential function is log(12) = $\frac 43$log(x) + log(y) + 2log(z)

How to convert the function?

The exponential function is given as:

12^3=x^4 y^3 z^6

Take the logarithm of both sides

log(12^3) =log(x^4 y^3 z^6)

Apply the product rule of logarithm

log(12^3) =log(x^4) + log(y^3) + log(z^6)

Apply the power rule of logarithm

3log(12) = 4log(x) + 3log(y) + 6log(z)

Divide through by 3

log(12) = $\frac 43$log(x) + log(y) + 2log(z)

Hence, the logarithmic equivalent of the exponential function is log(12) = $\frac 43$log(x) + log(y) + 2log(z)

Read more about logarithms and exponential functions at:

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