Question

PLEASE HELPP ASAP
1. suppose you invest $1,500 at an annual interest rate of 6.9% compounded continuously. how much will you have in the account after 10 years

A. $14,952.87
B. $29,905.73
C. $2,990.57
D. $1,607.15
2. what is the value of log4 (2)
A. 2/3
B. 1/4
C. 1/3
D. 1/2

3. solve log(2x+1)=3
A. 999
B. 500
C. 999/2
D. 1/2

4. solve the equation log(x+5)-logx=3
A. 0.0505
B. 0.0050
C. 2.5
D. 199.8

Answer 1

2: 1/2
3: \[\frac{ \log(x+1) }{ \log(2) }\]
4: I got 0.26198

Answer 2

i dont understand how you got those answers for 2 and 4 because the answers isnt on the choices

Answer 3

yeah, That's what I was thinking.

Answer 4

Regarding #4: Use rules of logs (and of exponentiation) to simplify log(x+5)-log(x) = 3.
Hint: How do we write log a - log b as a single logarithm?

Answer 5

see thats what im confused about :P

Answer 6

Here are the relevant rules of logs:
(a) log a + log b = log a*b (product of a and b)
(b) log a - log b = log a/b (quotient of a and b)
(c) log a^b = b*log a

Really important to know these 3 rules and how to apply them.

For practice: re-write log 2 - log 3 as a single log.

Answer 7

2. what is the value of log4 (2)?

RockStarGirl: Before we start on this Problem #2, let's see whether we can agree on how the problem statement reads. When I see "what is the value of log4 (2)," I can't help but wonder whether this means "the logarithm to the base 4 of 2."