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

The answer to 2log_{10}(x)=3+log_{10}(x/(10)) is x=100

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2log_{10}(x)=3+log_{10}(x/(10))

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

x = 100

Solution steps

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

Apply log rules

x^{2} = 100 x

Solve

x^{2} = 100 x : x = 100, x = 0

x = 100, x = 0

Verify Solutions:

x = 100

True

, x = 0

False

The solution is

x = 100

60 = 10 lo g_{10} (x)

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

ln (x) + ln (x - 7) = ln (6 x)

ln (2 x - 3) + 1 = 0

lo g_{3} (\frac{3}{x}) = - 3

What is the answer to 2log_{10}(x)=3+log_{10}(x/(10)) ?
The answer to 2log_{10}(x)=3+log_{10}(x/(10)) is x=100
Solve for x: 2log_{10}(x)=3+log_{10}(x/(10))
The solution is x=100