Question

If 4x^3+7x^2-3x-6 find the quotation

Answer 1

9^2x = 27^(3x-2)

To solve for x, we will use the exponent properties to find x.

First we will rewrite the bases as powers of prime numbers.

We know that:

9 = 3^2

27 = 3^3

Let us substitute.

==> 3^2)^2x = (3^3)^(3x-2)

Now we know that x^a^b = x^ab

==> 3^(2*2x) = 3^(3*(3x-2)

==> 3^(4x) = 3^(9x-6)

Now that the bases are equal, then the powers are equal too.

==> 4x = 9x -6

==> -5x = -6

==> x = 6/5