Question

How can I solve/simplify the following equation without a calculator? (I'll write it up)

Answer 1

c;

Answer 2

\[x=(0.67\log(0.37*1*30^2) +1.46) - (0.67\log(0.37*1*30^1) +1.46) \]

Answer 3

Anyone have any ideas?

Answer 4

http://prntscr.com/4gkprk

Answer 5

Using the properties of logs, we can write:
[0.67{log 0.37 + 2log 30} + 1.46] - [0.67{log 0.37 + log 30} + 1.46]
Removing brackets:
0.67 log 0.37 + 0.67 * 2log 30 + 1.46 - 0.67 log 0.37 - 0.67 log 30 - 1.46
Combining like terms gives:
0.67 log 30

Answer 6

Ohh that makes a lot of sense now! Thanks so much! :)

Answer 7

You're welcome :)