Math Problem Statement
Solve each equation for x. Give both an exact value and a decimal approximation, correct to three decimal places. (Enter your answers as comma-separated lists.) (a) ln(x) + ln(x − 3) = 0 exact value x =
decimal approximation x =
(b) 51 − 6x = 9 exact value x =
decimal approximation x =
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Logarithms
Algebra
Quadratic Equations
Linear Equations
Formulas
ln(a) + ln(b) = ln(a * b)
Quadratic formula: x = [-b ± sqrt(b^2 - 4ac)] / 2a
Linear equation solution: ax + b = c
Theorems
Quadratic Formula
Properties of Logarithms
Suitable Grade Level
Grades 9-12
Related Recommendation
Step-by-Step Solutions to Quadratic, Logarithmic, and Exponential Equations
Solving Logarithmic and Quadratic Equations: 2logx = log2 + log(3x − 4)
Solve Logarithmic Equation: log x + log(x - 3) = 1
Solve Logarithmic and Quadratic Equations Involving x²-5x+6 and x²-17x+52
Solving the Logarithmic Quadratic Equation: (ln(x))^2 - 4ln(x) + 3 = 0