College

We appreciate your visit to Solve the equation tex log 6 x log 6 9 log 6 5 tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Solve the equation:

[tex]\log _6 x + \log _6 9 = \log _6 5[/tex]

Answer :

Sure! Let's solve the equation step-by-step:

We start with the equation:

[tex]\[
\log_6 x + \log_6 9 = \log_6 5
\][/tex]

Using the properties of logarithms, we know that:

[tex]\[
\log_b a + \log_b c = \log_b (a \times c)
\][/tex]

So, we can combine the logarithms on the left side:

[tex]\[
\log_6 (x \times 9) = \log_6 5
\][/tex]

Since the logarithms on both sides have the same base, we can equate the arguments (what's inside the logs):

[tex]\[
x \times 9 = 5
\][/tex]

Now, solve for [tex]\( x \)[/tex] by dividing both sides by 9:

[tex]\[
x = \frac{5}{9}
\][/tex]

Therefore, the solution to the equation is:

[tex]\[
x = \frac{5}{9}
\][/tex]

Thanks for taking the time to read Solve the equation tex log 6 x log 6 9 log 6 5 tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada