Hello friends, please, I need to know how to get the answer out of this exponential equation? thank you

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Answer 1 · 2016-11-04T03:17:26

I'll help you with question $1$ $1$ .

Write in the same base.

$3^{x - 1} = {(3^{- 1})}^{- 2 x - 1}$ $3^(x -1) = (3^-1)^(-2x -1)$

$3^{x - 1} = 3^{2 x + 1}$ $3^(x - 1) = 3^(2x + 1)$

We can now solve as a linear equation, since the bases are equivalent.

$x - 1 = 2 x + 1$ $x - 1 = 2x + 1$

$x = - 2$ $x = -2$

Hopefully this helps!