How do you simplify Log_(2)(10)?

1 Answer
Aug 30, 2015

log_2(10) = 1/log(2)

Explanation:

Use the change of base formula: log_a(b) = log_c(b)/log_a(b)

log_2(10) = log_10(10)/log_10(2) = 1/log(2)

since log_10 = log

In general, log_a(b) = log_b(b)/log_b(a) = 1/log_b(a)