Question

2^(n-1) = 256 ? Please give me the answer

Answer 1

2^(n-1) = 2^8

n-1= 8
n= 9


hope it's help you

Answer 2

Answer:

Concept:

Use the property of equality of exponential functions to solve exponential equations with the same base. If $p$ is  a positive number, then $p^{a}$=$p^{b}$ if and only if $a$=$b$. In other words, if the bases are the same, the exponents must be the same as well.

Step-by-step explanation:

Given:

An equation , $2^{(n-1)} =256$

To find:

Value of $n$

Solution:

• Write $256$ in terms of $2$

                                           $256= 16 * 16\\\\256 =2^{4} * 2^{4}\\\\256= 2^{8}$                                                

•  It is given that , $2^{(n-1)} = 256$

                                            $2^{(n-1)} =2^{8}$

• As base is equal on both sides , equate the powers on both sides.

                                    $n-1=8\\\\n=8+1\\\\n=9$

Hence, value of $n=9$

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