Question

Solve the equation:$3(2^x+1)-2^{x+2}+5=0$

Answer 1

Exponential equation solution:

Given, $3(2^x+1)-2^{x+2}+5=0$

$\Rightarrow$ $3\times 2^x+3-2^x\times 2^2+5=0$

$\Rightarrow$ $3\times 2^x-2^x\times 4+8=0$

$\Rightarrow$ $2^x\left(3-4\right)+8=0$

$\Rightarrow$ $-2^x+8=0$

$\Rightarrow$ $2^x=8$

$\Rightarrow$ $2^x=2^3$

On comparing exponents both side we get,

$x=3$

Hence, the solution of equation is $x=3$