Question 348525
I assume the problem is:
{{{log(0.7, (1))}}}
If so, this is called the "base 0.7 logarithm of 1"<br>
To find this logarithm without calculators or tables, you have to understand what logarithms are. In short, logarithms are exponents. Specifically, {{{log(0.7, (1))}}} represents the exponent for 0.7 that results in 1. So we have to ask ourselves: "What power of 0.7 is 1?". With some thought and with some understanding of how a certain exponent works, we can answer this question. The exponent for 0.7 (or for <i>any</i> non-zero number for that matter) that results in a 1 is ... Zero! Any number (except zero itself) raised to the zero power is 1! So:
{{{log(0.7, (1)) = 0}}}<br>
In fact
{{{log(a, (1)) = 0}}}
for <i>any</i> positive number!