Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

What is the solution of [tex]\log _x 729=3[/tex]?

A. 6
B. 9
C. 18
D. 81

Sagot :

GinnyAnswer
To solve the equation [tex]\(\log _x 729 = 3\)[/tex], we need to understand and manipulate logarithms. Here's a step-by-step solution:

1. Start with the given equation:
[tex]\[ \log_x 729 = 3 \][/tex]

2. Recall that [tex]\(\log_x 729 = 3\)[/tex] means that [tex]\(x\)[/tex] raised to the power of 3 equals 729. In exponential form, this is:
[tex]\[ x^3 = 729 \][/tex]

3. To solve for [tex]\(x\)[/tex], we need to find the cube root of 729:
[tex]\[ x = \sqrt[3]{729} \][/tex]

4. The cube root of 729 is 9 because:
[tex]\[ 9^3 = 9 \times 9 \times 9 = 729 \][/tex]

Therefore, the value of [tex]\(x\)[/tex] is:
[tex]\[ \boxed{9} \][/tex]
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.