Question

evaluate log (10^4 times 8).
Responses: log(10^4 times 8)= log(4 times 8)
log(10^4 times 8)=log 4+8
log(10^4 times 8)=4+log 8
log(10^4 times 8)=log(4+8)

Answer 1

Assuming log means base‑10 log:

log(10^4 × 8) = log(10^4) + log(8) = 4 + log(8) ≈ 4 + 0.903089987 = 4.903089987.

So the correct listed response is: "log(10^4 times 8) = 4 + log 8."

(If log were the natural log, ln(10^4 × 8) = 4 ln 10 + ln 8 ≈ 11.489.)