What is the answer to 2log_{5}(x)=-log_{5}(25) ?

The answer to 2log_{5}(x)=-log_{5}(25) is x= 1/5

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2log_{5}(x)=-log_{5}(25)

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

x = \frac{1}{5}

Decimal

x = 0.2

Solution steps

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

Divide both sides by

2

lo g_{5} (x) = - \frac{lo g _{5} ( 25 )}{2}

Apply log rules

x = \frac{1}{5}

Verify Solutions:

x = \frac{1}{5}

True

The solution is

x = \frac{1}{5}

x, ln (x) = y + 2

lo g_{8} (\frac{x + 5}{x - 2}) = 1

4 - 3 ln (x) = - 8

2 ln (x - 1) - ln (x - 3) = 1

lo g_{4} (x^{4}) = 4

What is the answer to 2log_{5}(x)=-log_{5}(25) ?
The answer to 2log_{5}(x)=-log_{5}(25) is x= 1/5
Solve for x: 2log_{5}(x)=-log_{5}(25)
The solution is x= 1/5