English Medium इयत्ता ९ - CBSE Question Bank Solutions for Mathematics

Find the value of x in the following:

`5^(x-2)xx3^(2x-3)=135`

Find the value of x in the following:

`2^(x-7)xx5^(x-4)=1250`

Find the value of x in the following:

`(root3 4)^(2x+1/2)=1/32`

Find the value of x in the following:

`5^(2x+3)=1`

Find the value of x in the following:

`(13)^(sqrtx)=4^4-3^4-6`

Find the value of x in the following:

`(sqrt(3/5))^(x+1)=125/27`

If `x=2^(1/3)+2^(2/3),` Show that x³ - 6x = 6

Determine `(8x)^x,`If `9^(x+2)=240+9^x`

If `3^(x+1)=9^(x-2),` find the value of `2^(1+x)`

If `3^(4x) = (81)^-1` and `10^(1/y)=0.0001,` find the value of `  2^(-x+4y)`.

If `5^(3x)=125` and `10^y=0.001,` find x and y.

Solve the following equation:

`3^(x+1)=27xx3^4`

Solve the following equation:

`4^(2x)=(root3 16)^(-6/y)=(sqrt8)^2`

Solve the following equation:

`3^(x-1)xx5^(2y-3)=225`

Solve the following equation:

`8^(x+1)=16^(y+2)` and, `(1/2)^(3+x)=(1/4)^(3y)`

Solve the following equation:

`4^(x-1)xx(0.5)^(3-2x)=(1/8)^x`

Solve the following equation:

`sqrt(a/b)=(b/a)^(1-2x),` where a and b are distinct primes.

If a and b are distinct primes such that `root3 (a^6b^-4)=a^xb^(2y),` find x and y.

If a and b are different positive primes such that

`((a^-1b^2)/(a^2b^-4))^7div((a^3b^-5)/(a^-2b^3))=a^xb^y,` find x and y.

If a and b are different positive primes such that

`(a+b)^-1(a^-1+b^-1)=a^xb^y,` find x + y + 2.