Question

Explain the error in the solution below. What additional step needs to be completed? log x – log53 = 2log53 log x = 3log53 log x = log533 x = 27

Answer 1

Answer:

The error in Step 5, when simplify exponent of 53.

Step-by-step explanation:

We need to choose error from step work

Step 1:  Given

$\log x-\log 53 = 2\log 53$

Step 2: Add log 53 both sides

$\log x-\log 53 +\log 53= \log 53+2\log 53$

Step 3: Simplify (Combine the like term right side)

$\log x= 3\log 53$

Step 4: Using property of log

$\log x = \log 53^3$

Step 5: Eliminate log

$x = 53^3$

Step 6: Simplify the exponent

$x=148877$

Hence, The error in Step 5, when simplify exponent of 53.

Answer 2

This step is wrong:
log x = log533
it should be logx=log53^3
x=53 to the 3rd power, x=148877