What is the answer to 10log_{10}(x/2)=5 ?

The answer to 10log_{10}(x/2)=5 is x=sqrt(10)*2

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10log_{10}(x/2)=5

10 lo g_{10} (\frac{x}{2}) = 5

x = 10 \cdot 2

Decimal

x = 6.32455 \dots

Solution steps

10 lo g_{10} (\frac{x}{2}) = 5

Divide both sides by

10

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

Apply log rules

\frac{x}{2} = 10

Multiply both sides by

2

\frac{x}{2} \cdot 2 = 10 \cdot 2

Simplify

x = 10 \cdot 2

Verify Solutions:

x = 10 \cdot 2

True

The solution is

x = 10 \cdot 2

2 \times lo g_{4} (x) = - 4

lo g_{3} (2 x - 5) = - 3

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

lo g_{e} (x) = x

ln (x - 5) = 0

What is the answer to 10log_{10}(x/2)=5 ?
The answer to 10log_{10}(x/2)=5 is x=sqrt(10)*2
Solve for x: 10log_{10}(x/2)=5
The solution is x=sqrt(10)*2