Question

Which of the following uses the properties of logarithms to correctly evaluate log1023
?(1 point)

log1023=23


log1023=−23


log1023=1023


log1023=10−23

Answer 1

Interpreting log1023 as log_10(2^3), use the power rule log_b(a^c)=c·log_b(a):

log_10(2^3) = 3·log_10 2 ≈ 3·0.30103 = 0.90309.

None of the four given numeric choices is correct.