Question

Solve the following without using log table: log 20 + log 30 - 1/2 log 36.​

Answer 1

Answer:

$log(20) + log(30) - \frac{1}{2} log(36) = 2.$

Explanation:

$log(20) + log(30) - \frac{1}{2} log(36) = log(20 \times 30) - \frac{1}{2} log( {6}^{2} ) \\ \\ = log(600) - \frac{2}{2} log(6) \\ \\ = log(600) - log(6) \\ \\ = log( \frac{600}{6} ) \\ \\ = log(100) \\ \\ = log( {10}^{2} ) \\ \\ = 2 log(10) \\ \\ = 2.$

Answer 2

Answer:

2

Explanation:

Log20+log30-1/2log36 =Log(20*30)-1/2log(6²)

=log600-2/2log6

=log (600/6)

=log100

=2