Home » Mathematics » If (log_{10})(6x – 4) – (log_{10})2 = 1, solve for x.

If (log_{10})(6x – 4) – (log_{10})2 = 1, solve for x.

If (log_{10})(6x – 4) – (log_{10})2 = 1, solve for x.

  • A.
    2
  • B.
    3
  • C.
    4
  • D.
    5
Correct Answer: Option C
Explanation

(log_{10})(6x – 4) – (log_{10})2 = 1

(log_{10})(6x – 4) – (log_{10})2 = (log_{10})10

(log_{10})(frac{6x – 4}{2}) – (log_{10})10

(frac{6x – 4}{2}) = 10

6x – 4 = 2 x 10

= 20

6x = 20 + 4

6x = 20

x = (frac{24}{6})

x = 4