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

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

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)