Math Snap

STEP 1

What is this asking?
We need to figure out what power of 3 equals 9, and then use that value to solve $5n + 5$.
Watch out!
Don't mix up the order of operations!
We need to find $n$ first, and then plug it into $5n + 5$.

STEP 2

1. Find n
2. Calculate the expression

STEP 3

Alright, let's rewrite 9 as a power of 3!
We know that $3 \cdot 3 = 9$, which means $3^2 = 9$.

STEP 4

So, if $3^n = 9$ and $9 = 3^2$, then we can say $3^n = 3^2$.
This means our magical $n$ is 2!

STEP 5

Now, let's substitute our newly discovered $n = 2$ into the expression $5n + 5$.

STEP 6

This gives us $5 \cdot 2 + 5$.
Remember PEMDAS/BODMAS—we multiply before we add!

STEP 7

$5 \cdot 2$ gives us 10.
So, we have $10 + 5$.

STEP 8

Finally, $10 + 5 = 15$!
Our final answer for the expression is 15!

$n = 2$. $5n + 5 = 15$.