if 4x+3=112+8×4x,find the value of 18×3x
Answers
Answer:
We have, 4
x+3
=112+8×4
x
⇒4
x
(4
3
−8)=112
⇒4
x
(64−8)=112
⇒4
x
(56)=112
⇒4
x
=
56
112
⇒(2
2
)
x
=2
⇒2
2x
=2
1
As base is same, equating the powers, we get
⇒2x=1⇒x=
2
1
if x=
2
1
then the value of ⇒(18x)
3x
is (18×
2
1
)
3×
2
1
∴(9)
2
3
∴(3
2
)
2
3
∴3
2⋅
2
3
∴3
3
=27
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Question
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If 4
x+3
=112+8×4
x
; find the value of (18x)
3x
Easy
Solution
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Correct option is A)
We have, 4
x+3
=112+8×4
x
⇒4
x
(4
3
−8)=112
⇒4
x
(64−8)=112
⇒4
x
(56)=112
⇒4
x
=
56
112
⇒(2
2
)
x
=2
⇒2
2x
=2
1
As base is same, equating the powers, we get
⇒2x=1⇒x=
2
1
if x=
2
1
then the value of ⇒(18x)
3x
is (18×
2
1
)
3×
2
1
∴(9)
2
3
∴(3
2
)
2
3
∴3
2⋅
2
3
∴3
3
=27