Question

find X if 2 log 5+1/4 log 81-log3=log X
​

Answer 1

Answer:

25

Step-by-step explanation:

property

log(x^a)=alogx

81=3^4

(1/4)log81= (1/4)*4log3=log3

substituting the above result in the problem

2log5+log3-log3=2log5=log25

Answer 2

The value of X is 25

We know that logx^m = mlogx

∴ 2log5 + 1/4log81 - log3 = logX

⇒ 2log5 + 1/4log3⁴ - log3 = logxX

⇒ log5² + 4/4log3 - log3 = logxX

⇒ log25 + log3 - log3 = logxX

⇒ log25 = logxX

⇒ X = 25