Properties of Exponents

[nycmathguy]

Section 3.1
Question 69

How is this done?
Do 69 and I will try 70.

 

[MathLover1]

69.

f(x)=3^(x-2) ..........recall property of exponents a^m/a^n=a^(m-n)

f(x)=3^x/3^2
f(x)=3^x/9
f(x)=(1/9)(3^x)

 

[nycmathguy]

69.

f(x)=3^(x-2) ..........recall property of exponents a^m/a^n=a^(m-n)

f(x)=3^x/3^2
f(x)=3^x/9
f(x)=(1/9)(3^x)

Can you do 69?

 

[MathLover1]

I did it, take a look above picture

 

[nycmathguy]

I did it, take a look above picture

Yes, you did. Silly me.

 

[nycmathguy]

I did it, take a look above picture

Which rules of exponents do I apply to 70, 71 and 72? I will take it from there.

 

[MathLover1]

70. it ask you to find option (IF ANY) are same; so, no answer option is same as any of g(x)

in case we have 4^(x+12)=2^(2(x+12))=2^(2x+24), there is still no option for g(x)

71. use rule 4. a^-n=1/a^n...since you have to multiply by 16, you will have 16a^-n=16(1/a^n)

72. same case as 71; so, no answer option is same as any of g(x)

 

[nycmathguy]

70. it ask you to find option (IF ANY) are same; so, no answer option is same as any of g(x)

in case we have 4^(x+12)=2^(2(x+12))=2^(2x+24), there is still no option for g(x)

71. use rule 4. a^-n=1/a^n...since you have to multiply by 16, you will have 16a^-n=16(1/a^n)

72. same case as 71; so, no answer option is same as any of g(x)

For 71, f(x) = h(x).

16(4^-x)

16(2^2(-x))

16(2^(-2x))

You say?

Note: We are done with Section 3.1.
We move on to Logarithmic Functions.

 

[MathLover1]

correct

 

[nycmathguy]

correct

Interesting questions. First time for me. Keep in mind that I will post common classroom questions and questions that push students beyond the lesson. Ron Larson, like most textbook authors, goes beyond the regular classroom questions to test if students truly understand the chapter lessons.