CPM Homework Help : APCALC Problem 2-99

What are the $x$ - and $y$ -intercepts of the graph of $x+3=3^{3(y+1)}$ ?

Hint:

Find an $x$ -intercept by setting $y$ equal to $0$ . Find a $y$ -intercept by setting $x$ equal to $0$ .

Step 1:

$y$ -intercept:
$0 + 3 = 3^{3(3y + 1)}$
$3 = 3^{3y + 3}$

Step 2:

STOP and think! Logarithms could help you solve for $y$ . But there is an easier way...