If $3^{n - 3} + 3^{2} = 18$ , calculate the value of $n$ .

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Solution

The correct option is C $5$
Given, $3^{n - 3} + 3^{2} = 18$
$3^{n - 3} + 9 = 18$
$3^{n - 3} = 18 - 9 = 9$
$3^{n - 3} = 3^{2}$
So, $n - 3 = 2$
$n = 5$

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Similar questions

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If 3n−3+32=18, calculate the value of n.

The correct option is C 5Given, 3n−3+32=183n−3+9=183n−3=18−9=93n−3=32So, n−3=2n=5

If $3^{n - 3} + 3^{2} = 18$ , calculate the value of $n$ .

The correct option is C $5$
Given, $3^{n - 3} + 3^{2} = 18$
$3^{n - 3} + 9 = 18$
$3^{n - 3} = 18 - 9 = 9$
$3^{n - 3} = 3^{2}$
So, $n - 3 = 2$
$n = 5$