What is the answer to log_{6}(25)=2log_{6}(x) ?

The answer to log_{6}(25)=2log_{6}(x) is x=5

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log_{6}(25)=2log_{6}(x)

lo g_{6} (25) = 2 lo g_{6} (x)

x = 5

Solution steps

lo g_{6} (25) = 2 lo g_{6} (x)

Switch sides

2 lo g_{6} (x) = lo g_{6} (25)

Divide both sides by

2

lo g_{6} (x) = \frac{lo g _{6} ( 25 )}{2}

Apply log rules

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

ln ((x - 2) (x - \frac{1}{2})) = 0

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

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

2 x^{2} = \frac{x ^{2}}{ln ( x )}

ln (x^{2}) = 4 ln (x)

What is the answer to log_{6}(25)=2log_{6}(x) ?
The answer to log_{6}(25)=2log_{6}(x) is x=5
Solve for x: log_{6}(25)=2log_{6}(x)
The solution is x=5