Lawrence has two part-time jobs one at the movie theater and wanted a pet store he's paid by the hour at each job last week he w
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In this question , we have a graph given, and we have to find the x coordinate of the intersection point .
From the graph , the input value is approximately 3.3 .
In the graph,
And for g(x), we need the slope and y intercept .
Slope is the ratio of rise and run .
Here rise equals 3 units and run equals 2 units. And the graph touch the y axis at -2 .
So the equation of g(x) is
We need to do
Substituting the values of the two functions, we will get
Adding 2 to both sides
Cross multiplication
So the input value is 3.3 approx
To graph it, just graph 
and 
and see where they intersect
I would like to solve it by using math and not graphing
if you don't want to see the math, just don't scroll down
the graphical meathod is above, first line, just read it
hmm
multiply both sides by -1
multiply both sides by
minus 1 from both sides and minus 6(3^x) from both sides
use u subsitution
we can rewrite it as
now factor
I mean use quadratic formula
for
so for 0=u^2-16u-1, a=1, b=-16, c=-1
remember that u=3^x so u>0
if we have u=8+√65, it's fine, but u=8-√65 is negative and not allowed
so therfor
if you take the log base 3 of both sides you get
if you use ln then
then
I would like to solve it by using math and not graphing
if you don't want to see the math, just don't scroll down
the graphical meathod is above, first line, just read it
hmm
multiply both sides by -1
multiply both sides by
minus 1 from both sides and minus 6(3^x) from both sides
use u subsitution
we can rewrite it as
now factor
I mean use quadratic formula
for
so for 0=u^2-16u-1, a=1, b=-16, c=-1
remember that u=3^x so u>0
if we have u=8+√65, it's fine, but u=8-√65 is negative and not allowed
so therfor
if you take the log base 3 of both sides you get
if you use ln then
then