Solve: log₄ (5x-1) = 3.

Solve log_a 6n – 3 log_a x = log_a x

Find the value of

Find x. x is a natural number

If log₁₀ 7 = a, then log₁₀ (1/70) is equal to:

Find the value of log₅ 500 – 2 log₅ 2 + log₄ 32 + log₄ 8

Find the number of digits in 2²⁰⁰⁹. Given log 2 = 0.3010.

If x, y and z are the sides of a right angled triangle, where ‘z’ is the hypotenuse, then find the value of (1/log_(x+z) y) + (1/log_(z-x) y)

If log 2 = 0.301 and log 3 = 0.4771, find the number of digits in 48¹².

Solve the equations and compare

I. x² – 30x + 216 = 0

II. y² – 23y + 132 = 0

The tens digit of a two-digit number is two more than its unit digit. The two-digit number is 7 times the sum of the digits. Find the units digits?

Solve the equations and compare

I. 4x² + 19x + 21 = 0,

II. 3y² – 19y – 14 = 0

5 years ago, sister’s age was 5 times the age of her brother and the sum of present ages of sister and brother is 34 years. What will be the age of her brother after 6 years?

Father is 3 times more aged than his daughter. If after 5 years, he would be 3 times of daughter’s age, then further after 5 years, how many times he would be of his daughter’s age?

The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. what is the age of the youngest child ?

A person was asked to state his age in years. His reply was, 'Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am.' What was the age of the person?

Ben age after 15 years will be 5 times his age 5 years back, What is the present age of ben?

When 2 is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number?

Solve the equations and compare

I. 3x² + 10x + 8 = 0

II. 3y² + 7y + 4 = 0

Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. The current average age of this eight member joint family is nearest to:

A telecom service provider engages male and female operators for answering 1000 calls per day. A male operator can handle 40 calls per day whereas a female operator can handle 50 calls per day. The male and the female operators get a fixed wage of Rs. 250 and Rs. 300 per day respectively. In addition, a male operator gets Rs. 15 per call he answers and a female operator gets Rs. 10 per call she answers. To minimize the total cost, how many male operators should the service provider employ assuming he has to employ more than 7 of the 12 female operators available for the job?

In the following

questions, two equations I and II are given. You have to solve both the

equations and give Answer as,

I.12x² – 40x + 32 = 0

II.8y² – 40y + 48 = 0

In the following

questions, two equations I and II are given. You have to solve both the

equations and give Answer as,

I. 9x – 7y = 15

II. 3x – y = – 3

In the following

questions, two equations I and II are given. You have to solve both the

equations and give Answer as,

I. 12x² + 40x + 32 = 0

II. 8y² + 40y + 42 = 0

In the following

questions, two equations I and II are given. You have to solve both the equations and give Answer as,

I.4x² – 7x – 57 = 0

II. 5y² – 6y – 63 = 0

Father is four times the age of his daughter. If after 5 years, he would be threee times of daughter’s age, then further after 5 years, how many times he would be of his daughter’s age?

What is Aman's present age, if after 20 years his age will be 10 times his age 10 years back?

Nisha is 15 years elder to Romi. If 5 years ago, Nisha was 3 times as old as Romi, then find Nisha’s present age.

One year ago, the ratio of Honey and Piyush ages was 2: 3 respectively. After five years from now, this ratio becomes 4: 5. How old is Piyush now?

Simplify: 1/log_p/q^x +1/log_q/r^x+1/log_r/p^x

If log_ax + log_a 1/6 = 1/3, If find the value of x.

A function f(x) is defined as follows:

(i) f(1) = 1

(ii) f(2x) = 4 f(x) + 6

(iii) f(x + 2) = f(x) + 12x + 12

then calculate f(6).

Find for what value of a is: f(n) = (a – 2)n + 3a – 4 an even function?

Given f(x) = –x3 + 5x2 – x + 9, find f(6).

f(x + y) = f(x)f(y) for all x, y, f(4) = + 3 what is f(–8)?

Given that x is real and f(x) = f(x + 1) + f(x – 1). Determine the value of ‘a’ that will satisfy f(x) + f(x + a) = 0?

If f(x – 3) = 2x3 + p – qx and f(x2 – 4) = x2 – 8q + 6p, then what is the value of p – q?

Find for what value of a is: f(n) = (a – 2)n + 3a – 4 an even function?

The value of f∘g∘h(9) could be, if

f(x) = 1/x

g(x) = 1/(x−2)

h(x) = √x