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

The answer to 2log_{10}(x+3)=7 is x=1000sqrt(10)-3

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

The solution is x=1000sqrt(10)-3

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

x = 100010 - 3

Decimal

x = 3159.27766 \dots

Solution steps

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

Divide both sides by

2

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

Apply log rules

x + 3 = 100010

Solve

x + 3 = 100010 : x = 100010 - 3

x = 100010 - 3

Verify Solutions:

x = 100010 - 3

True

The solution is

x = 100010 - 3

ln (x) = - 211571.8607, x

lo g_{10} (x) = 1.75

2 ln (x) = 6

lo g_{x - 1} (8) = 1

lo g_{5} (x) - lo g_{25} (x) + lo g_{5} (x) = - 5

What is the answer to 2log_{10}(x+3)=7 ?
The answer to 2log_{10}(x+3)=7 is x=1000sqrt(10)-3
Solve for x: 2log_{10}(x+3)=7
The solution is x=1000sqrt(10)-3