Assuming 5 is the base. I'm going to leave that out for now.
2log(5x^3) + (1/3)log(x^2+6)
power rule
log(5^2 x^3*2) + log((x^2 + 6)^(1/3))
log(25x^6) + log((x^2 + 6)^(1/3))
quotient rule
log(25x^6 / (x^2 + 6)^(1/3))
2.74x=58.19
x=21.2372
He only has enough lunch money for 21 full days.
3 multiplied by ten to the second power
4(m-2)=24
4m-8=24 distributive property
add 8 to each side
4m=32
divide each side by 4
m=8
