# Removing (log) from an equality

• June 22nd 2008, 06:02 PM
dclivefree
Removing (log) from an equality
Given: 0.352 = -log T How do you isolate T?
• June 22nd 2008, 06:05 PM
Mathstud28
Quote:

Originally Posted by dclivefree
Given: 0.352 = -log T How do you isolate T?

Does $\log(T)=\log_{10}(T)\text{ or }\ln(t)=\log_e(T)$?

Either way

$-\log(T)=\log\left(\frac{1}{T}\right)$

So $\frac{1}{T}=(e\text{ or }10)^{.352}$
• June 22nd 2008, 06:56 PM
mr fantastic
Quote:

Originally Posted by dclivefree
Given: 0.352 = -log T How do you isolate T?

Alternatively:

0.352 = -log T => -0.352 = log T => T = a^{-0.352} where a is the base of the logarithm. If the base is 10, then T = 10^{-0.352} = .....
• June 22nd 2008, 07:24 PM
dclivefree
Thank you Mr. Fantastic
Thank you Mr. Fantastic. You truely are. This is the second time you bailed me out. I am a 44 year old going back to college. I quickly realized that I have much to learn. Thanks again.