Question

Solve 3^(4x-5)=〖27〗^(x+10) for x. Show your work

Answer 1

x = 35

Explanation:

27 = 3^3

so now it would be (3^3)^x+10, you multiply the exponents and get 3^3x+30

so now you have two bases that have a 3, by rule, if you have the same bases your exponents should be the same, so you just equal the other exponent which is 4x-5

so 4x - 5 = 3x + 30

4x - 3x = 30 + 5

x = 35