Question

Find x if 2 log 5 + 5log 16 - log 4 = logx​

Answer 1

Step-by-step explanation:

log(25+16*16*16*16*16-4)=X

X=1048597

Answer 2

Answer:

$2 log(5) + 5 log(16) - log(4) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = log(x) \\ using \: formulae \\ i .\: \: n log(m) = log( {m}^{n} ) \\ ii. \: log(m \times n) = log(m ) + log(n) \\ iii. \: log( \frac{m}{n} ) = log(m) - log(n) \\ now \\ log( {5}^{2} ) + log( {16}^{5} ) - log(4) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = log(x) \\ log(25) + log(1048576) - log(4) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = log(x)$

$log(25 \times 1048576) - log(4) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = log(x) \\ log(26214400) - log(4) = log(x) \\ log(26214400 \div 4) = log(x) \\ log(6553600) = log(x) \\ comparing \: both \: the \:sides \\ we \: get \\ x = 6553600$

hope this will help u......