Question

IF log x = 1/₂, find log (10x²)​

Answer 1

2

Explanation:

log ab = log a + log b

Similarly,

log 10x² = log 10 + log x²

log a^b = b log a

Similarly,

log 10x² = 2 log x

= 2 * 1/2

= 2/2

= 1

Note :-

The value of log 10 = 1

Hence,

log 10x²

= log 10 + log x²

= 1 + 1

= 2