3 years ago

3^4x+^2=9^x+^2. what is the value of x?

Mathematics

1 answer:

klemol [59]3 years ago

5 0

Answer:

x = 1

Step-by-step explanation:

3^(4x + 2) = 9^(x + 2)

Make 9 with base 3.

3^(4x + 2) = (3^2)^(x + 2)

3^(4x + 2) = 3^(2x + 4)

Cancel bases.

4x + 2 = 2x + 4

Subtract 2 and 2x on both sides.

4x - 2x = 4 - 2

2x = 2

Divide 2 on both sides.

x = 1

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3^4x+^2=9^x+^2. what is the value of x?​

3^4x+^2=9^x+^2. what is the value of x?