A student solved log4(2x – 12) = 3, as shown. Step 1: 2x – 12 = 34
Step 2: 2x – 12 = 81
Step 4: 2x = 93
Step 5: x = 46.5
Explain the error and find the correct solution.

The error is in Step 1. They translated from logarithmic to exponential form incorrectly.

The student should have used 4 as the base and 3 as the exponent. This would result in 64, not 81, on the right side of the equation.

The correct answer is x = 38.

Step-by-step explanation:

Step-by-step explanation:

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