Solve for x : $3^x - 3^{x - 1}$ = 486. Options: A . &nbsp9 B . &nbsp6 C . &nbsp5 D . &nbsp7

Solve for x : $3^x - 3^{x

Question

Solve for x : $3^x - 3^{x - 1}$ = 486.

Options:

A . 9

B . 6

C . 5

D . 7

Answer: Option A
Answer:(b)$3^x - 3^{x - 1} = 486$$3^{x - 1}$(3 - 1) = 486$3^{x - 1}$ × 2 = 486$3^{x - 1} = 486/2$ = 243$3^{x - 1} = 3^5$ ⇒ x - 1 = 5x = 5 + 1 = 6

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