Question

Give Solution of log10+log2-log 5+log 9+log 25=loga²
Answer = 30

Answer 1

log10+log2-log 5+log 9+log 25=loga²

as log a + log b = log ab and log c - log d = log c/d.

so,


log10+log2-log 5+log 9+log 25=loga²

= log { (10 × 2 × 9 × 25)/ 5} = loga²

= log ( 2 × 2 × 9 × 25) = loga²

= log 900 = loga²

= log (30)² = loga²

(30)² = a²

root (30)² = a

30 = a

So, the value of a is 30.