How do you solve log_6 (x + 2) = log_6 (3x)? Precalculus Properties of Logarithmic Functions Functions with Base b 1 Answer José F. May 10, 2016 x=1 Explanation: color(blue)(log_x(y)=log_x(z)=>y=z, if y>0 and z>0 log_6(x+2)=log_6(3x) x+2=3x and x+2>0 and 3x>0 2x=2 and x> -2 and x>0 x=1 and x>0 x=1 Answer link Related questions What is the exponential form of log_b 35=3? What is the product rule of logarithms? What is the quotient rule of logarithms? What is the exponent rule of logarithms? What is log_b 1? What are some identity rules for logarithms? What is log_b b^x? What is the reciprocal of log_b a? What does a logarithmic function look like? How do I graph logarithmic functions on a TI-84? See all questions in Functions with Base b Impact of this question 1508 views around the world You can reuse this answer Creative Commons License