# Solving Logarithms

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1. Evaluate logarithm. Round results to 3 decimal places.

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

3. Find exact value of logarithm

4. using properties of logarithms to expand express as a sum, difference, and/or multiple of logarithms.(assume all variableas are positive)

5. Condense expression to logarithm of single quantity

6. Solve for x.

7. Solve exponential equation algebraically.Approximate result to 3 decimal places..

8. 8(10^3x) =12

9. Solve logarithmic equation algebraically.Approximate 3 decimal places.

ln2x = 2.4

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

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1. Evaluate logarithm. Round results to 3 decimal places.

=log1250/log15=2.633

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

=1.19585

3. Find exact ...

###### Education

- BSc , Wuhan Univ. China
- MA, Shandong Univ.

###### Recent Feedback

- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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