Question

Solve 2 to power x+1 + 2 to power x+ 2 =192

Answer 1

Answer:

x = 5

Step-by-step explanation:

2^(x+2)+2^(x+1)=192

=> (2^x)(2^2) + (2^x)(2^1) = 192

=> (2^x) (4) + (2^x) (2) = 192

=> (6)(2^x) = 192

=> 2^x=32

=> 2^x = 2^5

=> x = 5

check the equation with put the value of x :

(2^6) + (2^7) = (64 + 128) = 192

Answer 2

${\huge{\underline{\boxed{\red{\mathcal{Answer}}}}}}$

Given:

• $2^{x+1} + 2^{x+2} = 192$

To Find:

• Value of x

Solution:

$\longrightarrow 2^{x+1} + 2^{x+2} = 192 \\:\implies 2^{x+1} + 2^{x+1}*2 = 192 \\:\implies</p><p>2^{x+1}(1 + 2) = 192 \\:\implies 2^{x+1} = 64 \\:\implies 2^x * 2 = 64 \\:\implies 2^x = 32 \\:\implies 2^x = 2^5 \\\bf{:\implies x = 5}$

hope it helps!