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Solving Log Equations: Algebra 2/Trig.

Ahoy math friends! In this post, we are going to focus on solving log equations by solving this Regents questions step by step. We’ll answer this question right away! But if you need more of a review, keep reading and you will find what logarithms are, the different kinds of logarithms rules, and some simpler examples. Ready for our first example?! Check it out below:

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How do I Answer this Question?

Step 1: Let’s re-write the equation to get rid of the “log.”

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Solving Log Equations

Step 2: Solve for x in our new equation (5x-1)(1/3)=4

Solving Log Equations

If the above answer makes sense to you, great! If not, that’s ok too, keep reading for a review on solving log equations.

What are Logarithms?

Logarithms are inverses of exponential equations. Take a look below for a clearer picture.

Solving Log Equations

Basic Formula:

Logarithms can be re-written to get rid of the word “log.” This makes them easier to solve and understand.

Solving Log Equations
Solving Log Equations

Log Rules:

There are a few rules you have to memorize get used to with practice. These rules are used when solving for x in different kinds of algebraic log problems:

Solving Log Equations

Still got questions?  No problem! Check out the videos below and the post here for more on logarithms! Also don’t forget to subscribe below to get the latest FREE math videos, lessons, and practice questions from MathSux. Thanks for stopping by and happy calculating! 🙂

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