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suppose that In 2 = a and In 3 = b. Use properties of logarithms to write each logarithm in terms of a and b. I need help with number 39 and 43. I am confused on how to get the answer. Thanks for your help!

suppose that In 2 a and In 3 b Use properties of logarithms to write each logarithm in terms of a and b I need help with number 39 and 43 I am confused on how t class=

Respuesta :

we are given

[tex] a=ln(2) [/tex]

[tex] b=ln(3) [/tex]

(39)

[tex] ln(6) [/tex]

we can write it as

[tex] ln(6)=ln(2*3) [/tex]

now, we can use property of log

[tex] ln(6)=ln(2)+ln(3) [/tex]

now, we can replace with a and b

and we get

[tex] ln(6)=a+b [/tex]............Answer

(43)

[tex] ln(9) [/tex]

we can write it as

[tex] ln(9)=ln(3^2) [/tex]

now, we can use property of log

[tex] ln(9)=2ln(3) [/tex]

now, we can replace with a and b

and we get

[tex] ln(9)=2b [/tex]............Answer