sarahsantana2005 sarahsantana2005

Today at 3:11 AM
Mathematics

Answered

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

Answer :

Today at 3:17 AM

Answer:

x = 35

Step-by-step 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

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