Question

what is the value of x in the expression log (x+7)- log (x-7) = log 22​

Answer 1

Step-by-step explanation:

log (x+7) - log (x-7) = log 22

=> log [(x+7)/(x-7)] = log 22

[ log m - log n = log m/n]

=> taking antilog on both sides, we get

=> (x+7)/(x-7) = 22

=> 22(x-7) = x+7

=> 22x - 154 = x+7

=> 22x - x = 154 + 7

=> 21x = 161

=> x = 161/21

=> x = 23/3

=> x = 7⅔