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

The answer to log_{10}(2x)+4=1 is x= 1/2000

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log_{10}(2x)+4=1

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

x = \frac{1}{2000}

Decimal Notation

x = 0.0005

Solution steps

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

Move

4

to the right side

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

Apply log rules

2 x = \frac{1}{1000}

Solve

2 x = \frac{1}{1000} : x = \frac{1}{2000}

x = \frac{1}{2000}

Verify Solutions:

x = \frac{1}{2000}

True

The solution is

x = \frac{1}{2000}

\frac{( 1 + ln ( x ) )}{x} = 0

ln (1 + x) = 34

lo g_{4} (x) = 2 + lo g_{16} (x)

lo g_{5} (x) = \frac{1}{5}

lo g_{4} (x + 10) + lo g_{4} (x - 5) = 2

What is the answer to log_{10}(2x)+4=1 ?
The answer to log_{10}(2x)+4=1 is x= 1/2000
Solve for x: log_{10}(2x)+4=1
The solution is x= 1/2000