Evaluating logarithm

Question

Assignment:

Q1. Evaluate logarithm. Round results to 3 decimal places. log₁₅ 1250

Q2. Approximate logarithm using properties of logarithms, given log b^2 = 0.3562, logb^3 =0.5646 and log b^5 = 0.8271 log_b = √15b

Q3. Find exact value of logarithm  log₄³√4

Q4. Using properties of logarithms to expand express as a sum, difference, and/or multiple of logarithms.(assume all variableas are positive) log₆ x²/y³

Q5. Condense expression to logarithm of single quantity Zln3 -1/2 ln (x² + 1)

Q6. Solve for x log₄ x = 3

Q7. Solve exponential equation algebraically.Approximate result to 3 decimal places e^x- 9 =19

Q8. 8(10^3x) =12

Q9. Solve logarithmic equation algebraically.Approximate 3 decimal places ln2x = 2.4

Q10. Find time required for a $1000 investment to double at interest rate r1 compounded continuously r = 0.085

Provide complete and step by step solution for the question and show calculations and use formulas.