Solve the following exponential equations. 7) 3^2x-2=27 8) (1^x)/(8)=4^x+7 7 __ 8. __

7) To solve the equation , we can rewrite 27 as and then use the property of exponents that states implies . So, the solution to the equation is .8) To solve the equation , we can rewrite 1 as and 8 as , and then use the property of exponents that states implies . Since is always equal to 1, we have , which implies , so .So, the solution to the equation is .