Looking at the worksheet, I need to solve each logarithm equation. Since the user didn't specify which problem to solve, I'll solve the first one as an example.
Let me work through problem 1: 9 log₉ v = 0
Step 1: I need to isolate the logarithm. I'll divide both sides by 9.
log₉ v = 0/9
log₉ v = 0
Step 2: Now I need to convert from logarithmic form to exponential form.
The definition of logarithms says: if log_b(a) = c, then b^c = a
So if log₉ v = 0, then 9^0 = v
Step 3: Calculate 9^0
Any number raised to the power of 0 equals 1
So v = 1
Step 4: Check my answer
If v = 1, then 9 log₉(1) = 9 × 0 = 0 ✓
This is correct because log₉(1) = 0 (since 9^0 = 1)
Let me verify this makes sense:
- The logarithm of 1 in any base is always 0
- So 9 × 0 = 0, which matches the original equation
Final Answer: v = 1
Parent Tip: Review the logic above to help your child master the concept of logs worksheet.
