The value of x satisfying 184 x-3=(54 √2)3 x-4 is

Question

The value of x satisfying 184 x-3=(54 √2)3 x-4 is (A) 2 (B) 6 (C) 3 (D) 4

Tardigrade Admin · Accepted Answer

184 x -3=(54 √2)3 x -4 Taking log on both sides (4 x-3) log 18=(3 x-4) log 54 √2 ⇒ (4 x-3) log 18=(3 x-4) log (18)3 / 2 ⇒ (4 x-3)=(3 x-4) ⋅ (3/2) ⇒ x=6

Q. The value of $x$ satisfying $1 8^{4 x - 3} = (542)^{3 x - 4}$ is

2

6

3

4

$1 8^{4 x - 3} = (542)^{3 x - 4}$
Taking log on both sides
$(4 x - 3) lo g 18 = (3 x - 4) lo g 542$
$\Rightarrow (4 x - 3) lo g 18 = (3 x - 4) lo g (18)^{3/2}$
$\Rightarrow (4 x - 3) = (3 x - 4) \cdot \frac{3}{2}$
$\Rightarrow x = 6$

Q. The value of x satisfying 184x−3=(542​)3x−4 is

2

6

3

4

184x−3=(542​)3x−4 Taking log on both sides (4x−3)log18=(3x−4)log542​ ⇒(4x−3)log18=(3x−4)log(18)3/2 ⇒(4x−3)=(3x−4)⋅23​ ⇒x=6

Q. The value of $x$ satisfying $1 8^{4 x - 3} = (542)^{3 x - 4}$ is

$1 8^{4 x - 3} = (542)^{3 x - 4}$
Taking log on both sides
$(4 x - 3) lo g 18 = (3 x - 4) lo g 542$
$\Rightarrow (4 x - 3) lo g 18 = (3 x - 4) lo g (18)^{3/2}$
$\Rightarrow (4 x - 3) = (3 x - 4) \cdot \frac{3}{2}$
$\Rightarrow x = 6$