Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

What is the value of [tex]\( x \)[/tex] if [tex]\( 5^{x+2} = 5^9 \)[/tex]?

A. [tex]\( x = -11 \)[/tex]
B. [tex]\( x = -7 \)[/tex]
C. [tex]\( x = 7 \)[/tex]
D. [tex]\( x = 11 \)[/tex]

Sagot :

GinnyAnswer
Certainly! Let's solve the equation step-by-step:

We start with the given equation:
[tex]\[ 5^{x+2} = 5^9 \][/tex]

Since the bases on both sides of the equation are the same (both are 5), we can equate the exponents. Therefore, we get:
[tex]\[ x + 2 = 9 \][/tex]

Next, we need to solve for [tex]\( x \)[/tex]. We do this by isolating [tex]\( x \)[/tex] on one side of the equation. Subtract 2 from both sides:
[tex]\[ x + 2 - 2 = 9 - 2 \][/tex]

This simplifies to:
[tex]\[ x = 7 \][/tex]

Therefore, the correct value of [tex]\( x \)[/tex] is:
[tex]\[ \boxed{7} \][/tex]

So the correct answer is:
[tex]\[ x = 7 \][/tex]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.