Question

find x if log x = 2 log 5 + 3 log 2 ​

Answer 1

Answer:

l

Step-by-step explanation:

logx=log5^2+log2^3

=log25+log8

= log(25x8)

=log200

x=200

Answer 2

Answer:

$\pink{log x = 2 log 5 + 3 log 2} \: \: \: \: \: \: \: \: \: \\ \\log x = log( {5}^{2} ) + log( {2}^{3} ) \\ \\ log(x) = log(25) + log(8) \\ \\ log(x) = log(25 \times 8) \: \: \: \: \: \: \: \: \: \\ \\ \blue{since} \\ \\ \red{ log(mn) = log(m) + log(n) } \\ \\ \green{hence} \\ \\ log(x) = log(25 \times 8) \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \pink{by \: \: \: comaring \: \: \: we \: \: \: get} \\ \\ x = 25 \times 8 = 200$