The error is in the third step of the given solution and it can be find out by further solving the given expression by using the logarithmic properties.
Given :
Logarithmic Function - [tex]\rm log\;x-log\;53=2\times log\;53[/tex]
The error in the solution can find out by using the logarithmic properties in the following steps given below:
Step 1 - Rewrite the given expression.
[tex]\rm log\;x=2\times log\;53+log\;53[/tex]
Step 2 - Apply logarithmic property, [tex]\rm c\;log\;a +log\;a=(c+1)log\;a[/tex].
[tex]\rm log\;x = 3 \;log\;53[/tex]
Step 3 - Again apply logarithmic property, [tex]\rm c\;log\;a = log\;(a)^c[/tex].
[tex]\rm log\;x = log\;(53)^3[/tex]
Step 4 - Again apply logarithmic property , [tex]\rm log\;a = log\;b \Rightarrow \; a = b[/tex].
[tex]x = (53)^3= 148877[/tex]
So, from the above steps it can be conclude that there is an error in 3rd step of the given solution.
For more information, refer the link given below:
https://brainly.com/question/20838017
