SOLUTION: Studying for my exam tomorrow, trying to figure out how you find the x & y intercepts from the graph {{{ y = log (3,x) }}} after undergoing a translation four units upwards and fiv

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Studying for my exam tomorrow, trying to figure out how you find the x & y intercepts from the graph {{{ y = log (3,x) }}} after undergoing a translation four units upwards and fiv      Log On


   

Question 947156: Studying for my exam tomorrow, trying to figure out how you find the x & y intercepts from the graph +y+=+log+%283%2Cx%29+ after undergoing a translation four units upwards and five units to the left.
I think the equation would look something like: +y+=+log+%283%2C%28x%2B5%29%29%2B4+
How would I find the x & y intercepts?
Thank you for your help
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Y-intercept: Set x=0 and solve for y
y=log%283%2C%280%2B5%29%29%2B4
y=log%283%2C%285%29%29%2B4
X-intercept: Set y=0 and solve for x
0=log%283%2C%28x%2B5%29%29%2B4
log%283%2C%28x%2B5%29%29=-4
x%2B5=3%5E%28-4%29
x=-5%2B1%2F81
x=-405%2F81%2B1%2F81
x=-404%2F81