A student showed the steps below while solving the equation 14 = log Subscript 5 Baseline (2 x minus 3) by graphing.
Step 1:
Write a system of equations: y 1 = 14; y 2 = log Subscript 5 Baseline (2 x minus 3)
Step 2: Use the change of base formula to rewrite the equations:
y 1 = log 14; y 2 = StartFraction log (2 x minus 3) Over log 5 EndFraction
Step 3: Graph the two equations:
On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1 and approaches y = 2. It crosses the x-axis at (2, 0). A horizontal straight line is at y = 1.
Step 4: Identify the x-value at the point of intersection:
x almost-equals 4.5
In which step did the student make the first error?