Question

2 5 x minus 6 is equal to 5 root 2 power 20 find out the value of x​

Answer 1

2^{4x}=2^1. On comparing both sides we get. 4x=1. x=\dfrac{1}{4}. Therefore, the value of x is 1/4. #Learn more. If 2 ki power 5x divide 2 ki power x is equal to 5 under root 2 ki power 20 then find x.

Answer 2

If 2 power 5 x divided by 2 power x is equal to 5 under root 32 then find the Answers are the finest of the finest.

The value of x is 1/4.

Step-by-step explanation:

Consider the given equation is

\dfrac{2^{5x}}{2^x}=\sqrt[5]{32}

We need to find the value of x.

It can be rewritten as

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

Using the properties of exponents we get

2^{5x-x}=2 [\because \dfrac{a^m}{a^n}=a^{m-n}, \sqrt[n]{a^n}=a]

2^{4x}=2^1

On comparing both sides we get

4x=1

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