Question

if 2^5^x ÷ 2^x = 4 then find the value of x​

Answer 1

Answer:

Look at the workings i have done it and attached the photo

Answer 2

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$

if 2^5^x ÷ 2^x = 4 then find the value of x

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

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$\bold{= > \frac{ {2}^{5x} }{ {2}^{x} } = 4}$

=>Here,we see that 2 is on both side say numerator as well as denominator.

$\huge\underline\mathcal{Rules:}$

• In division if base is same of some value with different power then their power gets substracted with numerator value.
• similarly,In multiplication if base is same of some value with different power then their power gets add.

Here,we see that 2 which is base which is same but their power differes.so, According to rule power gets substracted.

$\bold{= > {2}^{5x - x} = 4}$

$\bold{ = > {2}^{4x} = 4}$

$\bold{ = > {2}^{4x} = {2}^{2}}$

=>Here,2 lies on both side then 2 gets cancelled from both side

$\bold{= > 4x = 2}$

$\bold{= > x = \frac{2}{4} = \frac{1}{2} }$

hence,Value of x is 1/2

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