# Math Help - graphing log

1. ## graphing log

i must sketch graph of these 2 functions

y=4log4x+1
y=e^3x
I am unsure how to find x and y intercepts for this problems could anyone please show me formula how to get coordinates to make this graph

2. $f(x)=4\log 4x+1,f9,\infty)\to\mathbf{R}" alt="f(x)=4\log 4x+1,f9,\infty)\to\mathbf{R}" />
To find the interecept with x-axis, you must to solve the equation $f(x)=0$.
$\displaystyle 4\log 4x+1=0\Rightarrow \log 4x=-\frac{1}{4}\Rightarrow 4x=10^{-\frac{1}{4}}\Rightarrow x=\frac{1}{4\cdot 10^{\frac{1}{4}}}$
The graph does not intercept y-axis.

$g(x)=e^{3x},g:\mathbf{R}\to(0,\infty)$
The graph does not intercept the x-axis.
To find the intercept with y-axis, you have to calculate $g(0)$:
$g(0)=1$

Then give to $x$ some other values in the domain to find some other values for $f$ or $g$.

Here are the sketches.

3. ## to substitute into eaquations

so then for completing the plot where do i substitute in equation for making curves ?? thanks