Question

Logarithm ... If log(x+2)=logx+log2,the value of x is...​

Answer 1

Check it out . Hope it will help u !

Answer 2

Step-by-step explanation:

Given :-

log(x+2)=logx+log2

To find :-

Find the value of x ?

Solution :-

Given that :

log(x+2)=logx+log2

We know that log a + log b = log (ab)

On applying this formula to above equation

=> log(x+2) = log (x×2)

=> log(x+2) = log (2x)

=> x+2 = 2x

=> 2x = x+2

=> 2x-x = 2

=> x = 2

Therefore,x = 2

Answer:-

The value of x for the given problem is 2

Check :-

If x = 2 then LHS = log(x+2)

=> log (2+2)

=> log 4

=> log 2²

=>2 log 2 -------(1)

Since log a^m = m log a

If x= 2 then RHS = log x + log 2

=> log 2 + log 2

=> 2 log 2 -------(2)

From (1)&(2)

LHS = RHS is true for x = 2

Used formulae:-

• log a + log b = log (ab)

• log a^m = m log a