Log3x + log3(x2 + 2) = 1 + 2log3x

x = 1 , 2.

Step-by-step explanation:

I am assuming these are logs to the base 3.

log3 x + log3 (x^2 + 2) = 1 + 2log3x

-log3 x + log3 (x^2 + 2) = 1

log3 [ (x^2 + 2) / x] = 1            NOTE: 1 = log3 3, so:

log3 [(x^2 + 2) / x] = log3 3

(x^2 + 2) / x = 3

x^2 - 3x + 2 = 0

(x - 1)(x - 2) = 0

x = 1 , 2.

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2

step-by-step explanation:

infinity is the answer