Question

(4)power x+1=256
$(4)x + 1 = 256$
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Answer 1

Answer:

hope this answer is help you

Answer 2

ANSWER:

Given:

• 4^(x+1)=256

To Find:

• Value of x

Solution:

We are given that,

$\implies 4^{x+1}=256$

But, we know that,

$\hookrightarrow256=4\times4\times4\times4$

So,

$\hookrightarrow256=4^4$

We had,

$\implies 4^{x+1}=256$

So,

$\implies 4^{x+1}=4^4$

We know that, if,

$\hookrightarrow a^m=a^n$

Then,

$\hookrightarrow m=n$

So, we had,

$\implies 4^{x+1}=4^4$

$\implies x+1=4$

Transposing 1 from LHS to RHS,

$\implies x=4-1$

So,

$\implies\bf x=3$

Therefore, value of x is 3.

Verification:

We are given that,

$\implies 4^{x+1}=256$

Substituting value of x as 3,

$\implies 4^{3+1}=256$

$\implies 4^4=256$

$\implies 256=256$

As LHS = RHS,

HENCE VERIFIED!!!