What is the answer to ln(x^2)=2ln(4)-ln(5) ?

The answer to ln(x^2)=2ln(4)-ln(5) is x= 4/(sqrt(5)),x=-4/(sqrt(5))

Solve for x: ln(x^2)=2ln(4)-ln(5)

The solution is x= 4/(sqrt(5)),x=-4/(sqrt(5))

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ln (x^{2}) = 2 ln (4) - ln (5)

x = \frac{4}{5}, x = - \frac{4}{5}

Decimal Notation

x = 1.78885 \dots, x = - 1.78885 \dots

Solution steps

ln (x^{2}) = 2 ln (4) - ln (5)

Apply log rules

x^{2} = \frac{16}{5}

Solve

x^{2} = \frac{16}{5} : x = \frac{4}{5}, x = - \frac{4}{5}

x = \frac{4}{5}, x = - \frac{4}{5}

Verify Solutions:

x = \frac{4}{5}

True

, x = - \frac{4}{5}

True

The solutions are

x = \frac{4}{5}, x = - \frac{4}{5}

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

lo g_{2} (n) = 100

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

2 lo g_{10} (x) - lo g_{10} (3) = 2

ln (x^{2}) = x

What is the answer to ln(x^2)=2ln(4)-ln(5) ?
The answer to ln(x^2)=2ln(4)-ln(5) is x= 4/(sqrt(5)),x=-4/(sqrt(5))
Solve for x: ln(x^2)=2ln(4)-ln(5)
The solution is x= 4/(sqrt(5)),x=-4/(sqrt(5))