What is the answer to 2log_{3}(x)=2log_{3}(4)-4log_{3}(5) ?

The answer to 2log_{3}(x)=2log_{3}(4)-4log_{3}(5) is x= 4/25

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2log_{3}(x)=2log_{3}(4)-4log_{3}(5)

2 lo g_{3} (x) = 2 lo g_{3} (4) - 4 lo g_{3} (5)

x = \frac{4}{25}

Decimal

x = 0.16

Solution steps

2 lo g_{3} (x) = 2 lo g_{3} (4) - 4 lo g_{3} (5)

Divide both sides by

2

lo g_{3} (x) = lo g_{3} (4) - 2 lo g_{3} (5)

Apply log rules

x = \frac{4}{25}

Verify Solutions:

x = \frac{4}{25}

True

The solution is

x = \frac{4}{25}

lo g_{12} (2 x - 6) + 3 = 3

ln (x) = 9.353416701

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

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

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

What is the answer to 2log_{3}(x)=2log_{3}(4)-4log_{3}(5) ?
The answer to 2log_{3}(x)=2log_{3}(4)-4log_{3}(5) is x= 4/25
Solve for x: 2log_{3}(x)=2log_{3}(4)-4log_{3}(5)
The solution is x= 4/25