Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

5^(9x)=25^(4x+2) SHOW STEPSSSS

Sagot :

rosygupt26

Answer:

x = 4

Step-by-step explanation:

[tex]5^{9x} =25^{4x+2}[/tex]

First you need to get a common base as your number.

[tex]5^{9x} =5^{2(4x+2)}[/tex]

The second number changed because 5 squared is 25. Changing it to this form gives us the same base number of 5. Now we use the distributive property in the exponent.

[tex]5^{9x} =5^{8x+4}[/tex]

Now we can use this statement:

[tex]A^{m} =A^{n}[/tex] if [tex]m=n[/tex]

Using this we solve:

9x = 8x+4

-8x  -8x

x = 4

Hope it helps!

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.