Given that `10^0.48 = x, 10^0.70 = y and x^z = y^2 `, then the value of z is close to : Options: A . &nbsp1.45 B . &nbsp1.88 C . &nbsp2.9 D . &nbsp3.7

Given that `10^0.48&nb

Question

Given that `10^0.48 = x, 10^0.70 = y and x^z = y^2 `, then the value of z is close to :

Options:

A . 1.45

B . 1.88

C . 2.9

D . 3.7

Answer: Option C

`x^z = y^2 hArr (10^0.48)^z = (10^0.70)^2 hArr 10^(0.48z) = 10^(2 xx -.70) = 10^1.40`

`hArr` 0.48z = 1.40 ` hArr z = 140/48 = 35/12 ` = 2.9 (approx.)

Was this answer helpful ?

Next Question

Question 1. If `x = 3 + 2sqrt(2)`, then the value of `(sqrt(x) - 1/s....

Question 2. `(2^(n + 4) - 2 xx 2^n)/(2 xx 2^((n + 3))) + 2^ -3 ` is equal ....

Question 3. If `3^x - 3^(x - 1) = 18`, then the value of ....

Question 4. If `2^(n - 1) + 2^(n + 1) `= 320, then n is equal to : ....

Question 5. If `2^(n + 4) - 2^(n +2)` = 3, then n is equal to ....

Question 6. If `(9^n xx 3^5 xx (27)^3)/(3 xx (81)^4)` = 27, then the....

Question 7. IIf `(sqrt(3))^5 xx 9^2 = 3^n xx 3sqrt(3)`, then the value of&....

Question 8. If `sqrt(2^n)` = 64, then the value of n is : ....

Question 9. If `5sqrt(5) xx 5^3 -: 5^(-3/2)` = `5^(a + 2)`, th....

Question 10. If `5^a` = 3125, then the value of `5^((a - 3))` is: ....

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

DSP Combined 1 Free Revision Test SAIL JO E-0

GPOE / GPA Combined 1 Free Revision Test SAIL JO E-0

BSP Plant Specific Review Test SAIL JO E-0

BSL Combined 1 Free Revision Test SAIL JO E-0

GFM Combined 1 Free Revision Test SAIL JO E-0