Logarithm Problem

Question

What is 950^400

1.2 x 10^1191

1.1 x 10^1073

9.1 x 10^2471

7.3 x 10^2354

Answer 1

y = 950⁴⁰⁰

log(y) = 400 log (9.5 × 100) = 400 ×[log 9.5 + 2] = 400 × log9.5 + 800 = 400*0.9777 + 800

= 391.08+800 = 1191.08

so y = 10^1191.08 = 10^.08 × 10¹¹⁹¹ = 1.2 × 10¹¹⁹¹