What is the answer to log_{10}(100x)= 1/2 ?

The answer to log_{10}(100x)= 1/2 is x= 1/(10sqrt(10))

Solve for x: log_{10}(100x)= 1/2

The solution is x= 1/(10sqrt(10))

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lo g_{10} (100 x) = \frac{1}{2}

x = \frac{1}{10 10}

Decimal Notation

x = 0.03162 \dots

Solution steps

lo g_{10} (100 x) = \frac{1}{2}

Apply log rules

100 x = 10

Solve

100 x = 10 : x = \frac{1}{10 10}

x = \frac{1}{10 10}

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

lo g_{10} (x) + lo g_{10} (x + 7) = 8

lo g_{3} (3 x + 1) - lo g_{3} (x - 1) = 4

2 lo g_{10} (2 - x) - lo g_{10} (x + 5) = 1

lo g_{4} (3 x - 6) = lo g_{4} (2 - x)

What is the answer to log_{10}(100x)= 1/2 ?
The answer to log_{10}(100x)= 1/2 is x= 1/(10sqrt(10))
Solve for x: log_{10}(100x)= 1/2
The solution is x= 1/(10sqrt(10))