Question: If log3(9) + log3(3) = x, what is the value of x?
Options:
1
2
3
4
Correct Answer: 2
Solution:
log3(9) = 2 and log3(3) = 1, so x = 2 + 1 = 3.
If log3(9) + log3(3) = x, what is the value of x?
Practice Questions
Q1
If log3(9) + log3(3) = x, what is the value of x?
1
2
3
4
Questions & Step-by-Step Solutions
If log3(9) + log3(3) = x, what is the value of x?
Correct Answer: 3
Step 1: Understand that log3(9) means 'to what power do we raise 3 to get 9?'
Step 2: Since 3 raised to the power of 2 equals 9, we have log3(9) = 2.
Step 3: Next, understand that log3(3) means 'to what power do we raise 3 to get 3?'
Step 4: Since 3 raised to the power of 1 equals 3, we have log3(3) = 1.
Step 5: Now, add the two results together: 2 (from log3(9)) + 1 (from log3(3)).
Step 6: Calculate 2 + 1, which equals 3.
Step 7: Therefore, the value of x is 3.
Logarithmic Properties – Understanding the properties of logarithms, specifically how to evaluate logarithms of powers and the logarithm of a number to its own base.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
