Math, asked by aditichemistry, 2 months ago

If log, (3–2x)= 2 then r=


Answers

Answered by pragya3566
0

Answer:

(3-2x)=2

3-2x=2

-2x=2-3

-2x=-1

x=-1/-2

x=1/2

Answered by TaeTaePopsicle
14

Answer:

log

3

2,log

3

(2

x

−5),log

3

(2

x

2

7

) are in arithmetic progression.

⇒log

3

2+log

3

(2

x

2

7

)=2×log

3

(2

x

−5)

⇒log

3

(2×(2

x

2

7

))=log

3

(2

x

−5)

2

⇒2

x+1

−7=(2

x

−5)

2

i.e. 2

x+1

−7=2

2x

−5×2

x+1

+25

i.e. 2

2x

−6×2

x+1

+32=0

i.e. 2

2x

−12×2

x

+32=0

i.e. (2

x

−4)×(2

x

−8)=0

i.e. 2

x

=4,8orx=2,3

However, when x is 2,2

x

−5 becomes −1 which is not allowed inside logarithm.

Hence x=3.

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