Question

A student showed the steps below while solving the equation 14 = log Subscript 5 Baseline (2 x minus 3) by graphing.

Answer 1

Answer

Step 4

Explanation:

The equation the student solved is

$\frac{1}{4} =\log_{5}(2x - 5)$

His first step is to write the system :

$y_1 = \frac{1}{4} \\ y_2 = \log_{2}(2x - 3)$

This is correct

Step 2:

He used change of base formula to obtain:

$y_1 = \frac{1}{4} \\ y_2 = \frac{ \log(2x - 3) }{ \log(5) }$

This is also correct

Step 3:

He mistakenly graphed

$y_1=1$

instead of

$y_1= \frac{1}{4}$

The mistake occurred in step 3.

Answer 2

Answer:

step 2

Step-by-step explanation:

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