Chapter 4, Exponential and Logarithmic Functions - Section 4.5 - Exponential and Logarithmic Functions - 4.5 Exercises - Page 405: 88

$x=1$ $x=0.1$ $x=10$

$(log~x)^3=log~x$ $(log~x)^3-log~x=0$ $log~x[(log~x)^2-1]=0$ $log~x(log~x+1)(log~x-1)=0$ $log~x=0$ $10^{log~x}=10^0$ $x=1$ $log~x+1=0$ $log~x=-1$ $10^{log~x}=10^{-1}$ $x=0.1$ $log~x-1=0$ $log~x=1$ $10^{log~x}=10^{1}$ $x=10$