Question

How do I solve this? 3ˣ⁻⁷ = 27ˣ

Answer 1

X=-3.5 ................

Answer 2

Answer:

x = -3.5

Step-by-step 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