Question

Find the value of x if 2x=25 according to logorithm

Answer 1

2 x = 25

log 2 x = log 25
log 2 + log x  = log 5²

log x = 2 log 5 - log 2
  
 log 5 = log 10/2 = log 10 - log 2  = 1 - log 2

=>    log x =2 - 3 log 2
                 = 2 - 3 * 0.3010
                 =  1.3080

$x = 10^{1.3080}$

Answer 2

we know that log2x=log25
so from here log2+logx= 5log5
so from here we find that logx=3.193
so from here we find that x=1559.55