Find the approximate value of x, for this equation to be satisfied: xxxxx"

Sail E0 Webinar

Question

Find the approximate value of x, for this equation to be satisfied: $x^{x^{x^{x^{x}}}} - 4 = 0$ . Given that $(a^{m})^{n} = a^{m n}$

Options:

A . 1.41

B . 1.92

C . 1.54

D . 1.732

Answer: Option A
:
A

Go from answer options

If x =1.41 = $\sqrt{2}$ then we get
${\sqrt{2}}^{{\sqrt{2}}^{{\sqrt{2}}^{{\sqrt{2}}^{\sqrt{2}}}}} = 4$
Hence the equation is satisfied.

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. N is a five-digit number such that all its digits are non-zero and even, and there is only a single repetition. If the....divisible by 4, how many possible values can N take?

Question 2. Find the area of the biggest possible triangle whose base is 10 cm and perimeter 36 cm. ....

Question 3. Find the complete range of values of x for which (x2−7x+13)x<1. ....

Question 4. The average age of n persons is 55.Two persons aged 41 and 47 respectively leave the group and three new persons aged ....what is the number of persons now in the group?

Question 5. What is the remainder when p - q is divided by 100, if p=299+499+699+899+.........+10099 and q=199+399+599+799+...........- q is divided by 100, if p=299+499+699+899+.........+10099 and q=199+399+599+799+..........+9999?

Question 6. ABCD is a rectangle, with AP = PQ = QB and points R, S, T dividing the side CD in four equal parts. Find the area of the....if the area of the rectangle is A sq. units..

Question 7. A circle of radius 3 crosses the centre of a square of side length 2. Find the approximate positive difference between....between the areas of the non-overlapping portions of the figures

Question 8. The total amount of money spent on the purchase of pencils, rubbers and pens is Rs. 45. The cost of one pencil, one ru....the number of pencils, rubbers and pens bought are possible?

Question 9. Let three 3-digit integers abc, bca, cab when divided respectively by 10, 8 and 3 leave the same remainder 1. If 2<....the same remainder 1. If 2<b<8, then a = ?

Question 10. How many pairs of positive integers (a, b) are there such that a and b have no common factor greater than 1 and ab+14b....common factor greater than 1 and ab+14b9a is an integer?

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0