Step-by-step explanation:
2x+3 = 162 [∵16=24]
162=(24)2=28
[∵(am)n=a(m×n)]
⇒ 2x+3 = 28
Since bases are equal, exponents should be equal.
x+3 = 8
⇒ x =8−3=5
Answer:
∵
2
x−3
=16
Squaring both sides,
=256⇒2
=2
8
⇒x−3=8
∴x=11.
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Answers & Comments
Step-by-step explanation:
Given √2x+3 = 16
Squaring both sides, we get
2x+3 = 162 [∵16=24]
162=(24)2=28
[∵(am)n=a(m×n)]
⇒ 2x+3 = 28
Since bases are equal, exponents should be equal.
x+3 = 8
⇒ x =8−3=5
Answer:
∵
2
x−3
=16
Squaring both sides,
2
x−3
=256⇒2
x−3
=2
8
⇒x−3=8
∴x=11.