Question

if 2 ki power 5x divide 2 ki power x is equal to 5 under root 2 ki power 20 then find x
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Answer 1

Answer:

sorry I didn't get your question

Answer 2

The value of x is 1.

Step-by-step explanation:

Consider the given equation is

$\dfrac{2^{5x}}{2^x}=\sqrt[5]{2^{20}}$

We need to find the value of x.

It can be rewritten as

$\dfrac{2^{5x}}{2^x}=(2^{20})^{\frac{1}{5}}$               $[\because \sqrt[n]{a}=a^{\frac{1}{n}}]$

Using the properties of exponents we get

$2^{5x-x}=2^4$               $[\because \dfrac{a^m}{a^n}=a^{m-n}, (a^m)^n=a^{mn}]$

$2^{4x}=2^4$

On comparing both sides we get

$4x=4$

$x=\dfrac{4}{4}$

$x=1$

Therefore, the value of x is 1.

#Learn more

If 2 power 5 x divided by 2 power x is equal to 5 under root 32 then find the value of x​.

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