Question

How do I solve this?
3ˣ⁻⁷ = 27ˣ

Answer 1

x=-3.5 ................

Answer 2

x = -3.5

Explanation:

`3^x^-^7 = 27^x` (By converting both sides to have the same bases, we can then evaluate the exponents. Substitute 27 with
`3^3`)

`3^x^-^7 = (3^3)^x` (Since the x is outside the parenthesis on the LHS, we can multiply the exponents)

`3^x^-^7 = 3^3^x` (Now that the bases are equal, we can set the exponents equal to each other and then solve for them)

x - 7 = 3x (Subtract x from both sides)

-7 = 2x (Divide both sides by 2)

x = -3.5