Question

Solve for x 6^3-x=6^2

Answer 1

Answer: Option D

`x=1`

Explanation:

We have the following exponential equation

`6^(3-x)=6^2`

We must solve the equation for the variable x

Note that the exponential expressions
`6^(3-x)` and
`6 ^ 2` have the same base: 6

So if
`6^(3-x)=6^2` this means that
`3-x = 2`

Then we have that:

`3-x = 2`

`x = 3-2\\x=1`

Answer 2

D x=1

Explanation:

6^(3-x)=6^2

Since the bases are the same, the exponents have to be the same

3-x = 2

Subtract 3 from each side

3-x-3 = 2-3

-x = -1

Multiply each side by -1

x = 1