Math help Please?

[log^5]

can someone break the following problems down for me? I will number them:

1) there is a principal investment of 3000, the Rate of interest is 3%, time is 3 years, and the interest is compounded semiannually. the question asks what is the amount in the account?___ and what is the interest earned__. can you break down how to get to the amount in the account please?

2) compound interest formula : A=P(1+r/n)^nt. if 4000 is invested at 8% over 2 years, compounded daily. so n=365 what is the total earned and what is the interest earned?

I have had a horrible time learning log!!! if anyone could make this make sense or show a simple way of configuration i would greatly appreciate it:
3) log₃1/81
4) log₅⁶square root 5
5)log₁₀1
6) log₈8^3
7) ln(e²) = I think equals 2
8) equivalent logarithmic equation of 10^2 = 100 so log (___) = (___)
9) covert to exponential equation: 4 = log₄256
10) ln(x⁹y⁸z) = ?
11) ln8/7x⁷y = ?
12) log₅14 = ?
13) lnx⁵-3ln³ square rootx² = ?
14) 2^x=8
15) 4^6x-5=256
16) 6^x=3^x+1
17) log₅(4x-1) = 4
18) log₅(b+36)-log₅(b+6) = log₅b

Any & all help appreciated, Thank you Log^5

 

[stapel]

can someone break the following problems down for me? I will number them:

1) there is a principal investment of 3000, the Rate of interest is 3%, time is 3 years, and the interest is compounded semiannually. the question asks what is the amount in the account?___ and what is the interest earned__. can you break down how to get to the amount in the account please?

What is the formula they gave you for compound-interest exercises? Something like the following, I'll bet:

. . . . .\(\displaystyle A\, =\, P\left(1\, +\, \dfrac{r}{n}\right)^{nt}\)

For what does each variable stand? How do these definitions relate to the exercise's information? When you plug the given numbers into the given formula, what is the next step?

2) compound interest formula : A=P(1+r/n)^nt. if 4000 is invested at 8% over 2 years, compounded daily. so n=365 what is the total earned and what is the interest earned?

See the comments for (1) above.

I have had a horrible time learning log!!! if anyone could make this make sense or show a simple way of configuration i would greatly appreciate it

Loads of people have explained logs simply and clearly. For a start, try the following:

. . . . .Logarithms: Introduction

. . . . .Log Rules

. . . . .Graphing Logarithmic Functions

. . . . .Solving Logarithmic Equations

. . . . .Solving Exponential and Logarithmic Word Problems

Once you have studied each of these lessons thoroughly (and others online, if you remain confused), please attempt the exercises you have posted. If you get stuck, you can then reply with the instructions for each exercise (currently omitted from your posting), providing a clear listing of your thoughts and efforts so far.

Thank you! :wink: