Solve for X: P3 X P-2 = Px

Solve for x:
p³ x p^-2 = p^x

बेरीज

p³ x p^-2 = p^x
⇒ `"p"^(3+(-2))` = p^x ......(Using a^m x aⁿ = a^m+n)
⇒ p¹ = p^x
⇒ x = 1.

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Solving Exponential Equations

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पाठ 6: Indices - Exercise 9.1

पाठ 6 Indices
Exercise 9.1 | Q 9.07

Find x, if : 4^2x = `1/32`

Solve for x: `4^(x-1) × (0.5)^(3 - 2x) = (1/8)^-x`

If 5^{x + 1} = 25^{x - 2}, find the value of 3^{x - 3} × 2^{3 - x}.

Find the values of m and n if :
`4^(2m) = ( root(3)(16))^(-6/n) = (sqrt8)^2`

Solve : 3^x-1× 5^2y-3 = 225.

If `((a^-1b^2 )/(a^2b^-4))^7 ÷ (( a^3b^-5)/(a^-2b^3))^-5 = a^x . b^y` , find x + y.

Evaluate the following:

`9^(5/2) - 3 xx 5^0 - (1/81)^((-1)/2)`

Find the value of k in each of the following:

`(root(3)(8))^((-1)/(2)` = 2^k

Find the value of k in each of the following:

`(sqrt(9))^-7 xx (sqrt(3))^-5` = 3^k

If 2400 = 2^x x 3^y x 5^z, find the numerical value of x, y, z. Find the value of 2^-x x 3^y x 5^z as fraction.