1.

If `3^((x-1))+3^((x+1))=30`, then what is the value of `3^((x+2))+3^(x)`?A. 30B. 60C. 81D. 90

Answer» Correct Answer - D
Given: `3^((x-1))+3^((x+1))=30`
`implies (3^(x))/(3)+3.3^(x)=30 " ....(i)"`
Multiplying both the sides by 3 in equation (i)
`3^(x)+3^(2).3^(x)=90`
`implies3^(x)+3^(x+2)=90`


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