Respuesta :

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

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

[tex]\log x-\log 53 = 2\log 53[/tex]

Step 2: Add log 53 both sides

[tex]\log x-\log 53 +\log 53= \log 53+2\log 53[/tex]

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

[tex]\log x= 3\log 53[/tex]

Step 4: Using property of log

[tex]\log x = \log 53^3[/tex]

Step 5: Eliminate log

[tex]x = 53^3[/tex]

Step 6: Simplify the exponent

[tex]x=148877[/tex]

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