Question

find the value of x if 2^9x/2^2x = 7√2^14

Answer 1

Answer:

2^9x ÷ 2^2x = 7 root 2^14

ans : - x = 7

Step-by-step explanation:

■ 2^9x ÷ 2^2x = 7 root 2^14

=> 2^7x = 7/2×7

=> 2 ^7x = 2 ^49

=> 7x = 49

=> x = 49 ÷ 7

x = 7 ans

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Answer 2

Concept Introduction:

A number or letter placed above and to the right of a mathematical statement known as the base is termed an exponent. It denotes that the basis is to be increased in strength. The base is x, while the exponent or power is n.

Given: Equation $2^{9x} /2^{2x} =\sqrt[7]{2^{14} }$

To Find:

We have to find the value of, x.

Solution:

According to the problem,

$2^{9x} /2^{2x} =\sqrt[7]{2^{14} }$

⇒$2^{9x-2x} =2^{14*\frac{1}{7} }$

⇒$2^{7x} =2^{2}$

⇒$7x=2$

⇒$x=2/7$

Final Answer:

The value of x is $2/7$.

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