Question

2^x*4^x=4
what's the value of x​

Answer 1

AnsWer :

x = 2 / 3.

SolutioN :

$\tt \dagger \: \: \: \: \: {2}^{x} \times {4}^{x} = 4.$

$\tt : \implies {2}^{x} \times {2}^{2x} = 4.$

$\tt : \implies {2}^{x} \times {2}^{2x} = {2}^{2}$

$\tt : \implies x + 2x = 2.$

$\tt : \implies 3x = 2.$

$\tt : \implies x = \dfrac{2}{3}$

★ Therefore, the value of x is 2 / 3.

$\rule{90}2$

MorE InformatioN :

• a^x * a^y = a^x+y.
• a^x / a^y = a^ x - y.
• ( a^x )^y = a^xy.
• 1 / a = a^ -1.
• ( a / b )^n = a^n / b^n

Answer 2

Answer:

here you go with ur answer!