How do I solve this?
3ˣ⁻⁷ = 27ˣ

x = -3.5

Step-by-step explanation:

   (By converting both sides to have the same bases, we can then evaluate the exponents. Substitute 27 with )

   (Since the x is outside the parenthesis on the LHS, we can multiply the exponents)

   (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

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)