Question

1)2^5x-4=16^x+3 2)3^5x+2=81^x-1

Answer 1

2^5x-4=2^4(x+3)
5x-4=4x+12
5x-4x=12+4
x=16
2) 3^5x+2=3^4(x-1)
5x+2=4x-4
5x-4x=-4-2
x=-6

Answer 2

I can help you solve these equations. Here are the steps:

1) 2^5x-4=16^x+3 - Rewrite 16 as 2^4 and use the property of exponents: 2^5x-4=2^4(x+3) - Equate the exponents and solve for x: 5x-4=4(x+3) - Expand and simplify: x=20

2) 3^5x+2=81^x-1 - Rewrite 81 as 3^4 and use the property of exponents: 3^5x+2=3^4(x-1) - Equate the exponents and solve for x: 5x+2=4(x-1) - Expand and simplify: x=-6

You can also use online tools to check your answers or get more explanations. For example, you can try [Mathway](https://www.mathway.com/algebra) or [Quickmath](https://quickmath.com/solve/).