Question

Can someone please help me?

log_2 5 - log_2 3

30,000 = (15,500)(1.18)^x

Answer 1

@sanaybrown you mind helping me out?

Answer 2

@MelodicSymphony do you mind helping me out?

Answer 3

What's your question?

Answer 4

log_2 5 - log_2 3
and
30,000 = (15,500)(1.18)^x

Answer 5

What is it asking?

Answer 6

All you gave is an expression that means nothing, \[\log_2 5 - \log_2 3 \] what do you want to do with this?

Answer 7

I think they want it solved as in what does that expression equal

Answer 8

It's not a function you can't solve it

Answer 9

for the first one its asking to choose the single logarithmic expression that is equivalent to the one shown.

Log2

Log_2

Log_2 5/3

Log_2 3/5

Answer 10

Oh ok, so that makes sense now. When you are given such an expression you use the quotient rule, apply the following property. \[\log_a \frac{ x }{ y } = \log_a x- \log_a y\]

Answer 11

I think it's C but i'm not sure if i'm right

Answer 12

Yup.

Answer 13

okay good. how about the sec question?

Answer 14

What is it asking/

Answer 15

Suppose the population in a town has an average growth rate of 18% . If there are 15,500 people now living in town, in about how many years will the population grow to 30,000? Use the equation 30,000 = (15,500)(1.18)x and round the value of x to the nearest year.

Answer 16

the answers are

4

5

6

7

Answer 17

I went with 6, im I correct?

Answer 18

How did you get it?

Answer 19

You know if I told you the answer, that would not help you in any way, so if you can show me your work I can tell you if you did it correctly or not.

Answer 20

I solved for x and got

x=6.04176898ln(3000)

Answer 21

Mhm

Answer 22

\[30000 = (15500)(1.18)^x\]
\[\frac{ 30,000 }{ 15,500 } = (1.18)^x\]your first step correct?

Answer 23

\[\implies \frac{ 60 }{ 31 } = (1.18)^x \implies \ln \left( \frac{ 60 }{ 31 } \right) = \ln(1.18)^x\] what's next?

Answer 24

I tried to do it again and got x≈3.9897266

Answer 25

Yeah :)

Answer 26

That looks good, just round it up

Answer 27

so if i round it up it will =
to 4 years

Answer 28

\[\huge \ln \left( \frac{ 60 }{ 31 } \right) = x \ln(1.18) \implies x = \left( \frac{ \ln \frac{ 60 }{ 31 } }{ \ln(1.18) } \right)\]

Answer 29

do u mind checking more answers out? I want to know if my work is good

Answer 30

\[\log_a (x^p) = p \log_a\] (power property)

Answer 31

Open up a new question :)