Solve for x : logx3 + logx9 + logx27 + logx81 = 100

Solve 1/logab(abcd) + 1/logbc(abcd) + 1/logcd(abcd) + 1/logda(abcd)

Find the compound interest on Rs. 10,000 at 10% per annum for a time period of three and a half years.

If Rs. 5000 amounts to Rs. 5832 in two years compounded annually, find the rate of interest per annum.

A sum of money amounts to Rs. 669 after 3 years and to Rs. 1003.50 after 6 years on compound interest. Find the sum.

If the difference between compound interest and simple interest on some principle amount is at the rate of interest of 20% per annum for 3 years in $48, then what is the principle amount?

A sum of money placed at compound interest doubles itself in 3 years. In how many years will it amount to 8 times itself?

 Find the partial derivatives ∂f/∂x and ∂f/∂y for f(x, y) = 3x² y + 4y³

Stokes theorem connects

Let A be a square matrix of order 3 x 3. If |A| = 4 , then value of |2A| =

If A is a square matrix such that A² = A, then ( I + A)³ -8A is equal to

If A is a N x M matrix such that AB and BA are both defined , then order of B is:

Three numbers are in A.P. whose sum is 33 and product is 792, then the smallest number from these number is

Find the sum of the first 20 terms of the arithmetic series where the first term a1 is 2 and the common difference d is 4.

A and B are sisters. R and S are Brothers. A's daughter is R's sister. How is B related to S?

A square non-singular matrix A satisfies A²-A+2I = 0, then A–¹=

If the sum of first n terms of a series is (n+12), then what is its third term?

.Let S, be the sum of the first n
terms of an AP. If
S2n=3n +14n² then what is the common difference?

Find the 5th term of the sequence: 3, 6, 15, 45, ...

What is the value of Sin²x + Cos²x is equal to