Math, asked by vector6710, 11 months ago

If x^log 3 4=27 , then find the value of x^(log 3 4)^2

Answers

Answered by lakshitasolanki1675
0

Answer:

Correct option is

D

16

Let, y=x

log

4

3

⇒logy=log

4

3logx=logx(

log4

log3

),[∵log

a

b=

loga

logb

]

⇒log

3

y=log

4

x

⇒y=3

log

4

x

Substitute y in equation 2x

log

4

3

+3

log

4

x

=27 we get,

3×3

log

4

x

=27

⇒3

1+log

4

x

=3

3

Equating the power of 3

⇒1+log

4

x=3⇒log

4

x=2

⇒x=4

2

=16

Answered by reetisolanki8331
0

Correct option is

D

16

Let,y=x

log

4

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