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If 3^(x+1)+3^(x-1) = 270, what is the value of x ? (Also steps pls)​

By Melanie

If 3^(x+1)+3^(x-1) = 270, what is the value of x ? (Also steps pls)​

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Melanie

If the value of ′′ in an algebraic expression 3 + 1 is increased by 2, then the
value of the expression increases by
a

The ratio of Rita’s age to her mother’s age 3:8 the difference of their age is 35 years, the ratio of their age after 4 years will

1 thought on “If 3^(x+1)+3^(x-1) = 270, what is the value of x ? (Also steps pls)​”

  1. Answer:

    x=2

    Step-by-step explanation:

    3

    x+1

    +3

    2x+1

    =270.

    ⇒3.3

    x

    +3

    2x

    .3=270

    ⇒3

    x

    +3

    2x

    =90

    Substituting 3

    x

    =a we get a+a

    2

    =90

    ⇒a

    2

    +a−90=0⇒a

    2

    +10a−9a−90=0

    ⇒(a+10)(a−9)=0⇒a=9 or a=−10

    If 3

    x

    =9 then x = 2 If 3

    x

    =−10 which is not possible

    ∴x=2

    Reply

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