MATH 110 Lecture 36: Properties Relating Exponential and Logarithmic Functions
Document Summary
Every exponential function, bx eln(x) = x x = x n(e ) l. , can be rewritten using the natural logarithm nx/lnb bx = ( lnb x = exlnb e og x l b og x. Take the natural log of each side and solve x+2 = l ne l x + 2 = l x = 2 + l n2. 5 n2. 5 n2. 5. = e nxl to both sides e elnx = ee. Ex. x = ee eex = 1. Simplify using nel ex = l ex = l n10. Simplify x = l n(ln(10)) x = l n(ln(10))
