Reference : Logarithm
Q1. If log₃(x + 2) + log₃(x - 2) = 2, find the value of x.
7
5
6
4
Q2. If log₂x + log₂(x + 1) + log₂(x + 2) = 6, find x.
8
4
6
2
Q3. Solve: log₅(x² - 9) = 2 + log₅(x - 3)
12
8
10
6
Q4. If log₂x + log₄x + log₈x = 12, find x.
512
128
256
64
Q5. Solve: log₃(x²) + log₃(x - 3) = 2log₃(x + 1)
7
5
6
4
Q6. If log₁₀(x + 10) - log₁₀x = 1, find x.
20
10
15
5
Q7. Find x if log₂(4x + 1) = 3 + log₂(2x - 1)
6
4
5
3
Q8. If log₁₀(x - 3 ) + log₁₀(x + 3) = 2log₁₀x, find x.
7
5
6
4
Q9. Solve: log₅(x + 2) + log₅(x + 5) = 2
6
4
5
3
Q10. If logₓ(x² + 3) = 2 and x > 1, find x.
5
3
4
2
Other References :
AP & GP : Link
Area : Link
Average : Link
Boat & Stream : Link
Compound Interest : Link
Height & Distance : Link
LCM & HCF : Link
Percentage : Link
Profit & Loss : Link
Ratio & Proportion : Link
Simple Interest : Link
Speed Distance : Link
Time & Work : Link
Trains Problem : Link
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