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If log_3(x + 1) = 2, what is the value of x?
If log_3(x + 1) = 2, what is the value of x?
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Practice Questions
1 question
Q1
If log_3(x + 1) = 2, what is the value of x?
2
8
3
5
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log_3(x + 1) = 2 implies x + 1 = 3^2 = 9 => x = 8.
Questions & Step-by-step Solutions
1 item
Q
Q: If log_3(x + 1) = 2, what is the value of x?
Solution:
log_3(x + 1) = 2 implies x + 1 = 3^2 = 9 => x = 8.
Steps: 7
Show Steps
Step 1: Start with the equation log_3(x + 1) = 2.
Step 2: Understand that log_3 means 'to what power must 3 be raised to get (x + 1)?'.
Step 3: Since log_3(x + 1) = 2, this means 3 raised to the power of 2 equals (x + 1).
Step 4: Write this as an equation: x + 1 = 3^2.
Step 5: Calculate 3^2, which is 9. So now we have x + 1 = 9.
Step 6: To find x, subtract 1 from both sides: x = 9 - 1.
Step 7: Calculate 9 - 1, which gives you x = 8.
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