# Math Help - Removing (log) from an equality

1. ## Removing (log) from an equality

Given: 0.352 = -log T How do you isolate T?

2. 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 $\frac{1}{T}=(e\text{ or }10)^{.352}$

3. 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} = .....

4. ## 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.