# Solving Logarithmic Equations

Not what you're looking for?

A) Solve the equation:

log3 (2 - 3x) = log9 (6x2 - 19x + 2)

b) Prove that if a^x = b^y = (ab)^xy, then:

x + y = 1.

See the attached file.

##### Purchase this Solution

##### Solution Summary

A logarithmic equation is solved in the solution.

##### Solution Preview

Please see the attached file for the complete solution.

a) Solve the equation:

log3 (2 - 3x) = log9 (6x2 - 19x + 2)

Solution:

We know that logxy = log y / log x [Base rule]

Then:

log3(2 - 3x) = log9(6x^2 - 19x +2)

log(2 - 3x) / log 3 = log(6x^2 - 19x +2) / log ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts