I'm trying to figure out how to calculate the base if:
$$ \log_b 30 = 0.30290 $$
How do I find $b$ ?
I've slaved over the Wikipedia page for logarithms, but I just don't get the mathematical notations.
If someone could let me know the steps to find $b$ in plain english, I'd be eternally grateful!
Best Answer
You need to think about the definitions.
Since $a^b=c$ can be rewritten as $\log_a c = b$.
That should tell you that,
$$b^{0.30290} = 30$$
and then,
$$b = \exp {\frac{\ln 30}{0.30290}} $$