Question

X^5=164916224. Find value of x

Answer 1

The value of X is 43.994

Step-by-step explanation:

The given equation is:

X⁵ = 164916224

On taking log on both sides, we get,

log (X⁵) = log (164916224)

Now, on applying the logarithmic formula, log (aᵇ) = b log (a)

5 log (X) = log (164916224)

5 log (X) = 8.217

log (X) = 8.217/5

log (X) = 1.6434

On raising exponent of 10 on both sides, we get,

$10^{(log (X))}=10^{1.6434}$

∴ X = 43.994

Answer 2

Given :   X^5=164916224

To find  : value of x

Solution:

x⁵ = 164916224

164916224 = 2 * 8,24,58,112

= 2 * 2 * 4,12,29,056‬

= 2 * 2 * 2 * 2,06,14,528

= 2 * 2 *  2*  2 *  1,03,07,264‬

= 2 * 2 * 2 * 2 * 2  *  51,53,632

= 2⁵  * 51,53,632

= 2⁵  * 2 *  25,76,816‬

= 2⁵  * 2 *  2 * 12,88,408‬

= 2⁵  * 2 *  2  *  2  * 6,44,204‬

= 2⁵  * 2 *  2   * 2   * 2  * 3,22,102

= 2⁵  * 2 *  2   * 2   * 2  *  2*  1,61,051

= 2⁵  * 2⁵ *  1,61,051

= 4⁵ * 1,61,051

= 4⁵ *  11  *  14,641

= 4⁵ *  11  *   11  *  1,331

= 4⁵ *  11  *   11  *  11 * 121

= 4⁵ *  11  *   11  *  11 *  11 *  11

= 4⁵ *  11⁵

= (44)⁵

164916224 = (44)⁵

=> x⁵ =  (44)⁵

=> x =  44

Value of  x  = 44

Learn More:

Find the cube root of the following integers - 274 4000 - Brainly.in

https://brainly.in/question/9464406

1. Using prime factorisation, find the square roots of (a)11025 (b ...

https://brainly.in/question/10206386