Question

PLEASE HELP!!!

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

Step 1: log3^(x+1) = log15
Step 2: 3 log(x + 1) = log15
Step 3: log(x + 1) = log 15/3
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

Answer 1

@ganeshie8

Answer 2

Step 2 doesn't look correct to me. I believe you can move the power to the front of the log, but not the 3.

I am still very rusty on my logs and exponents, so please check my advice yourself.

Answer 3

okay, thank you

Answer 4

yes, you were right :)

Answer 5

Hey great. Do you want to see the correct answer for X ? And the steps to solve it properly?

Answer 6

that's okay, thank you