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

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

Solve for x: log_{3}(x^2)=2log_{3}(4)-4log_{3}(5)

The solution is x= 4/25 ,x=-4/25

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

x = \frac{4}{25}, x = - \frac{4}{25}

Decimal

x = 0.16, x = - 0.16

Solution steps

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

Apply log rules

x^{2} = \frac{16}{625}

Solve

x^{2} = \frac{16}{625} : x = \frac{4}{25}, x = - \frac{4}{25}

x = \frac{4}{25}, x = - \frac{4}{25}

Verify Solutions:

x = \frac{4}{25}

True

, x = - \frac{4}{25}

True

The solutions are

x = \frac{4}{25}, x = - \frac{4}{25}

y, ln (2 x + y) = x + 1

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

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

5 ln (2 x) = 20

lo g_{2} (5 x + 12) = 5

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