# Math Help - Simplify log ad graph exponential

1. ## Simplify log ad graph exponential

Simplify $\log a^3 - \log a^2$

I'm not sure if this is right but is it either:

a) $= 3\log_{10} a - 2\log_{10} a$
$=\log_{10} a (3-2)$
$=\log_{10} a {1}$
$a=0$

OR

b) $\log a^3 - \log a^2$
$=\log_{10} \frac{a^3}{a^2}$
$=\log_{10} a$

???

To graph $y=e^x$
$-1 \leq x\leq 3$
Is it just the exact same as a normal $y=e^x$ but asymptotic at $x=-1$ and $x=3$?

How can I find the gradient of the tangent at (0,1)?

2. Originally Posted by nerdzor
Simplify $\log a^3 - \log a^2$

I'm not sure if this is right but is it either:

a) $= 3\log_{10} a - 2\log_{10} a$
$=\log_{10} a (3-2)$
$=\log_{10} a {1}$
$a=0$

OR

b) $\log a^3 - \log a^2$
$=\log_{10} \frac{a^3}{a^2}$
$=\log_{10} a$
b is right .

3. b is right