The value of x is 2.5.
Equation; 4x+2 = 12 for x using the change of base formula log base b of y equals log y over log b.
To solve the equation follow all the steps given below.
Equation; 4x+2 = 12
Then,
[tex] \rm 4x+2 = 12\\ \\ 4x = 12-2\\ \\ 4x=10\\ \\ [/tex]
Taking log on both the sides
[tex]\rm log4x = log10\\ \\ log4+logx = log 10\\ \\ log x = log10-log4\\ \\ logx= log \left(\dfrac{10}{4} \right )\\ \\ logx = log2.5\\ \\ \dfrac{logx}{log2.5} =1\\ \\ log_{(2.5)}x = 1\\ \\ x= (2.5)^1\\ \\ x = 2.5[/tex]
Hence, the value of x is 2.5.
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