Question

pls anyone find the solution

Answer 1

HEY mate here is your answer.

the correct option is (a).

hope it helps you.

Answer 2

Given: 3^logx + x^log3 = 54

Now ,

let y = 3^logx

Taking log on both sides, we have,

logy = log(3^logx)

logy = (logx)(log3)----------( 1 )

Also let z = x^log3

Again taking log on both sides, we

have,

logz = log(x^log3)

logz = (log3)(logx)--------( 2 )

From --------( 1 ) &------( 2 )

we have logy=logz.

Hence, y = z,that means

3^(logx)=x^(log3)------------( 3 )

So, 3^logx + x^log3 = 54

3^logx + 3^logx = 54

from ----------( 3 )

2*(3^logx) = 54

3^logx = 54/2 = 27

3^logx = 27

3^logx = (3³)

3^logx = 3^3

logx = 3