Question

2^x+1=4^x-3 solve the following equation​

Answer 1

Solution:

2^x+1=4^x-3

→2^x+1=(2) ^2(x-3)

→2^x+1=2^2x-6..... (a^3+x= a^4+x then 3+x=4+x)

→x+1=2x-6

→ x-2x=-6-1

→ -x= -7

→ x=7

Answer 2

$\rule{300}3$

$\huge{\blue{\fbox{\bold{\red{UR\:QUESTION}}}}}$

$\huge {\mathbf {\purple {Q.}}}}$2^x+1=4^x-3 solve the following equation

$\rule{300}3$

$\huge{\blue{\fbox{\bold{\red{UR\:ANSWER}}}}}$ ✓

$\sf\implies 2^x+1=4^x-3$

$\sf\implies 2^x+1=(2) ^2(x-3)$

$\sf\implies 2^x+1=2^2x-6 .....a^3+x= a^4+x \:then\: 3+x=4+x$

$\sf\implies x+1=2x-6$

$\sf\implies x-2x=-6-1$

$\sf\implies -x= -7$

$\sf\implies x=7$

$\sf{\blue{\fbox{\red{x=7}}}}$

$\rule{300}3$

$\tt\huge\red{\text{BE \:BRAINLY}}$

$\rule{300}3$