What is the answer to log_{10}(2)(x)+log_{10}(2)(x-7)=3 ?

The answer to log_{10}(2)(x)+log_{10}(2)(x-7)=3 is x=(3+7log_{10}(2))/(2log_{10)(2)}

Solve for x: log_{10}(2)(x)+log_{10}(2)(x-7)=3

The solution is x=(3+7log_{10}(2))/(2log_{10)(2)}

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lo g_{10} (2) (x) + lo g_{10} (2) (x - 7) = 3

x = \frac{3 + 7 lo g _{10} ( 2 )}{2 lo g _{10} ( 2 )}

Decimal Notation

x = 8.48289 \dots

Solution steps

lo g_{10} (2) (x) + lo g_{10} (2) (x - 7) = 3

lo g_{10} (2) x + lo g_{10} (2) (x - 7) = 3

Expand

lo g_{10} (2) (x - 7) : lo g_{10} (2) x - 7 lo g_{10} (2)

lo g_{10} (2) x + lo g_{10} (2) x - 7 lo g_{10} (2) = 3

Add similar elements:

lo g_{10} (2) x + lo g_{10} (2) x = 2 lo g_{10} (2) x

2 lo g_{10} (2) x - 7 lo g_{10} (2) = 3

Move

7 lo g_{10} (2)

to the right side

2 lo g_{10} (2) x = 3 + 7 lo g_{10} (2)

Divide both sides by

2 lo g_{10} (2)

x = \frac{3 + 7 lo g _{10} ( 2 )}{2 lo g _{10} ( 2 )}

\frac{3}{5} x + 9 = 7 x - \frac{1}{3}

- 5 k - 7 k = - 104 - 4

14 - \frac{x}{3} = 10

- 4 = \frac{2}{7} p

2 x + 3 (2 x - 1) = x + 67

What is the answer to log_{10}(2)(x)+log_{10}(2)(x-7)=3 ?
The answer to log_{10}(2)(x)+log_{10}(2)(x-7)=3 is x=(3+7log_{10}(2))/(2log_{10)(2)}
Solve for x: log_{10}(2)(x)+log_{10}(2)(x-7)=3
The solution is x=(3+7log_{10}(2))/(2log_{10)(2)}