Question

6) Make the following function linear using logarithms. \[ Q=f(L, K)=20 L^{2} K^{1} \]

Answer 1

The linear function is given by z= log(20) +2y + x, where z=log(Q), y= log(L) and x=log(K).

Step-by-step explanation:

we have given Q=f(L, K)=20 L^{2} K^{1}

Taking logarithms on both sides,

log(Q) = log(20) + 2log(L) + log(K)

let z=log(Q), y= log(L) and x=log(K)

we obtain

z= log(20) +2y + x