How do you solve log(x-3)+log x=1? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Bdub ยท EZ as pi May 4, 2016 x=5 Explanation: Use Properties: log_b(xy)=log_b x+log_by log_bx=y iff b^y=x log (x(x-3))=1 color(white)(xxxxxx) [ 1 = log10] log(x^2-3x)=log10 x^2-3x^1 = 10^1 x^2-3x-10=0 (x-5)(x+2)=0 x=5 or x=-2 Answer link Related questions What is a logarithmic model? How do I use a logarithmic model to solve applications? What is the advantage of a logarithmic model? How does the Richter scale measure magnitude? What is the range of the Richter scale? How do you solve 9^(x-4)=81? How do you solve logx+log(x+15)=2? How do you solve the equation 2 log4(x + 7)-log4(16) = 2? How do you solve 2 log x^4 = 16? How do you solve 2+log_3(2x+5)-log_3x=4? See all questions in Logarithmic Models Impact of this question 4961 views around the world You can reuse this answer Creative Commons License