Question 210996
Using the change of base formula:{{{Log[b](M) = Log[a](M)/Log[a](b)}}} and in this problem, b(the old base) = 7, a = 10(the new base), M = 100.
{{{Log[7](100) = Log[10](100)/Log[10](7)}}}
{{{Log[7](100) = 2/0.8451}}}
{{{highlight(Log[7](100) = 2.3666)}}}Rounded to the nearest ten thousandth.