Dylan solved the exponential equation 3x+1 = 15 and his work is shown below. What is the first step he did incorrectly?

Step 1: log3x+1 = log15

Step 2: 3 log (x + 1) = log15

Step 3: log (x + 1) = log 15 over 3

Step 4: log (x + 1) = 0.3920304

Step 5: ln[log (x + 1) ] = ln0.3920304

Step 6: x + 1 = - 0.936415

Step 7: x = - 1.936415

Question

Mathematics

Jesus Vaughan

22 May, 07:16

Dylan solved the exponential equation 3x+1 = 15 and his work is shown below. What is the first step he did incorrectly?

Step 1: log3x+1 = log15

Step 2: 3 log (x + 1) = log15

Step 3: log (x + 1) = log 15 over 3

Step 4: log (x + 1) = 0.3920304

Step 5: ln[log (x + 1) ] = ln0.3920304

Step 6: x + 1 = - 0.936415

Step 7: x = - 1.936415

+4

Answers (2)

Know the Answer?

Cannon Keller · Answer 1

He messed up in step 2

Gia Orozco · Answer 2

The answer is Step 2.

The exponential equation is: 3ˣ⁺¹ = 15.

Step 1: log3ˣ⁺¹ = log15

Step 2: (x + 1) * log3 = log15

Step 3: x + 1 = log 15 / log 3

Step 4: x + 1 = 1.18 / 0.48

Step 5: x + 1 = 2.46

Step 6: x = 2.46 - 1

Step 7: x = 1.46