Answer:
x = -3.5
Step-by-step explanation:
[tex]3^x^-^7 = 27^x[/tex] (By converting both sides to have the same bases, we can then evaluate the exponents. Substitute 27 with [tex]3^3[/tex])
[tex]3^x^-^7 = (3^3)^x[/tex] (Since the x is outside the parenthesis on the LHS, we can multiply the exponents)
[tex]3^x^-^7 = 3^3^x[/tex] (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
