Originally Posted by

**Macleef** Evaluate:

1) $\displaystyle \log_2 128 - \log_2 32$

2) $\displaystyle \log_8 \sqrt8$

Can someone please help me with these log equations! Please show me what to do **IN DETAIL** **(STEP BY STEP**)! I really don't get what to do. I know you're suppose to do error and trial for the first equation, but how do I do this? And I don't know how to use the calculator "log" function when the base is not 10!

Answers:

1) $\displaystyle 2$

2) $\displaystyle 0$

P.S.

Are the following the correct way of writing an inverse of $\displaystyle y = 4^x$?

Exponential:

$\displaystyle f^-1(x) = 4^x$

Logarithmic:

$\displaystyle y = \log_4 x $