Evaluate:

Let

Taking log on both side we get,

= log (175.23 × 22.159) – log (1828.56)

(∵ log a÷ b = loga – log b)

= log 175.23 + log 22.159 – log 1828.56

(∵ log a×b = loga + log b)

= 2.2436 + 1.3455 – 3.2621

⇒ log x = 0.327

⇒ x = antilog 0.327 = 2.123