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If log_2(x + 1) = 3, what is the value of x?
If log_2(x + 1) = 3, what is the value of x?
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Q1
If log_2(x + 1) = 3, what is the value of x?
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log_2(x + 1) = 3 implies x + 1 = 2^3 = 8 => x = 7.
Questions & Step-by-step Solutions
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Q: If log_2(x + 1) = 3, what is the value of x?
Solution:
log_2(x + 1) = 3 implies x + 1 = 2^3 = 8 => x = 7.
Steps: 7
Show Steps
Step 1: Start with the equation log_2(x + 1) = 3.
Step 2: Understand that log_2 means 'to what power do we raise 2 to get (x + 1)?'.
Step 3: Since log_2(x + 1) = 3, we can rewrite this as 2 raised to the power of 3 equals (x + 1).
Step 4: Write the equation as 2^3 = x + 1.
Step 5: Calculate 2^3, which is 8. So now we have 8 = x + 1.
Step 6: To find x, subtract 1 from both sides of the equation: 8 - 1 = x.
Step 7: Calculate 8 - 1, which gives you x = 7.
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