Answer: 4
Step-by-step explanation:
Here the given expression is,
[tex]3^{2x+1}= 3^{x+5}[/tex]
We can write,
[tex]3^{2x+1}= 3^{x+5}\implies 2x+1=x+5[/tex] (Because [tex]a^m=a^n \implies m = n[/tex] )
⇒ [tex]2x+1-x =5[/tex] ( Subtracting x on both sides)
⇒ [tex]x = 5-1[/tex] ( Subtracting 1 on both sides)
⇒ [tex]x=4[/tex]
⇒ Fourth Option is correct.
Answer:
Choice C is the answer.
Step-by-step explanation:
We have given a equation.
[tex]3^{2x+1} =3^{x+5}[/tex]
We have to find the value of x.
We use following property to solve this question.
[tex]x^{a} =x^{b}[/tex]⇒ a = b
[tex]3^{2x+1} =3^{x+5}[/tex]
Using above property,we get
2x+1 = x+5
Adding -x to both sides of above equation,we get
-x+2x+1 = -x+x+5
x+1 = 5
Adding -1 to both sides of above equation,we get
x+1-1 = 5-1
x = 4 which is the answer.
