If x^log 3 4=27 , then find the value of x^(log 3 4)^2
Answers
Answered by
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
0
Correct option is
D
16
Let,y=x
log
4
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