What is the value of 3^2x+1, if 3^x=a
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Step-by-step explanation:
We use the power rule a^(x+y) = a^x * a^y:
3^(2x+1) = 3^(2x) * 3
We can re-write 3^(2x) as (3^x)^2, and we know that 3^x = a, so:
3a^2 is the final answer. There is not exact value, it's all just about re-writing.
[tex]3a^2 [/tex] is a required answer.
Answer:
solution given:
[tex]3^{2x+1}=? [/tex]
if [tex] 3^x=a[/tex]
By using power rule, we can write
[tex]3^{2x+1}[/tex] as
[tex]3^{2x+1}=(3^x)^2*3^1 [/tex]
[tex]a^2*3=3a^2 [/tex]