Write in logarithmic form.
(a) e^0=1
(b) 5^x=6
(c) e^3t=8

Question

Write in logarithmic form.
(a) e^0=1
(b) 5^x=6
(c) e^3t=8

zepdrix · Answer

$$\Large a^b=c\qquad\to\qquad \log_a c=b$$

zepdrix · Answer

So for the first one:$$\Large 5^x=6\qquad\to\qquad \log_5 6=x$$

anonymous · Answer

How about e^0=1? I don't understand 'e'.

zepdrix · Answer

Oh I just did the second one :) lol. woops

zepdrix · Answer

$$\Large e\approx2.71828$$It's just a fancy number like pi ^^
We would still follow the same format as before:$$\Large e^0=1\qquad\to\qquad \log_e 1=0$$Since the log of base e is used quite often, we have a special notation for it.
We use the natural log (ln instead of log) to show that it's a log of base e:$$\Large \to\qquad \ln 1=0$$

anonymous · Answer

Ohhh. I remember now. :D

zepdrix · Answer

|dw:1383006947830:dw|Personally I find going from logarithmic form to exponential easier to understand.
This is my thought process, maybe it'll help :)