What is the answer to log_{10}(2)(x+7)+log_{10}(2)(x+1)=4 ?

The answer to log_{10}(2)(x+7)+log_{10}(2)(x+1)=4 is x=(4-8log_{10}(2))/(2log_{10)(2)}

Solve for x: log_{10}(2)(x+7)+log_{10}(2)(x+1)=4

The solution is x=(4-8log_{10}(2))/(2log_{10)(2)}

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lo g_{10} (2) (x + 7) + lo g_{10} (2) (x + 1) = 4

x = \frac{4 - 8 lo g _{10} ( 2 )}{2 lo g _{10} ( 2 )}

Decimal Notation

x = 2.64385 \dots

Solution steps

lo g_{10} (2) (x + 7) + lo g_{10} (2) (x + 1) = 4

Expand

lo g_{10} (2) (x + 7) + lo g_{10} (2) (x + 1) : 2 lo g_{10} (2) x + 8 lo g_{10} (2)

2 lo g_{10} (2) x + 8 lo g_{10} (2) = 4

Move

8 lo g_{10} (2)

to the right side

2 lo g_{10} (2) x = 4 - 8 lo g_{10} (2)

Divide both sides by

2 lo g_{10} (2)

x = \frac{4 - 8 lo g _{10} ( 2 )}{2 lo g _{10} ( 2 )}

2 x - 3 - \frac{x - 1}{12} = \frac{x}{3} - \frac{1}{4}

lo g_{10} (3) (2 x - 1) = 2

7 x - 4 = 2 x + 26

3 z + 6 = 17

P, A = P + I

What is the answer to log_{10}(2)(x+7)+log_{10}(2)(x+1)=4 ?
The answer to log_{10}(2)(x+7)+log_{10}(2)(x+1)=4 is x=(4-8log_{10}(2))/(2log_{10)(2)}
Solve for x: log_{10}(2)(x+7)+log_{10}(2)(x+1)=4
The solution is x=(4-8log_{10}(2))/(2log_{10)(2)}