Question

if log 10 + 2 log 3 - log 2 = log N is equals to login, then find N​

Answer 1

Answer:

$\boxed{ \bold{ N = 45}}$

Step-by-step explanation:

$= > log\: 10 + 2\:log\: 3 - log \:2 = log\:N \\ \\ = > log \:10 + log\: {3}^{2} - log \:2 = log\:N \\ \\ = > log \:10 + log \:9 - log \:2 = log\:N \\ \\ = > log \:(10 \times 9) - log \:2 = log\: N \\ \\ = > log \:90 - log \:2 = log \:N \\ \\ = > log\: \frac{90}{2} = log\: N \\ \\ = > log \:45 = log \:N \\ \\ = > 45 = N \\ \\ = > N = 45$

Formula Used:

$= > log \: m + log \: n = log \: m \times n \\ \\ = > log \: m - log \: n = log\frac{m}{n} \\ \\ = > n \: log \: m = log \: {m}^{n}$