#1**+1 **

**1:**

log_{4}(20x - 10) - 2log_{4}(3) = log_{4}(4x + 10)

log_{4}(20x - 10) - log_{4}(3^{2}) = log_{4}(4x + 10) by the Power Property of Logarithms

log_{4}( \(\frac{20x-10}{9}\) ) = log_{4}(4x + 10) by the Quotient Property of Logs. (They also changed 3^{2} to 9)

\(\frac{20x-10}{9}\) = 4x + 10 by the Equality Property of Logarithms

hectictar
Dec 15, 2017