Question

3 (to the power 2x+3) +1 = 2 (3to the power x+2)3 x to the power 2 X + 4 + 1 is equal to 2 into 3 to the power x + 2 prove that

Answer 1

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

Answer 2

Step-by-step explanation:

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