What is the answer to ln((24/5)^2)=x ?

The answer to ln((24/5)^2)=x is x=2ln(24/5)

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ln((24/5)^2)=x

ln ((\frac{24}{5})^{2}) = x

x = 2 ln (\frac{24}{5})

Decimal Notation

x = 3.13723 \dots

Solution steps

ln ((\frac{24}{5})^{2}) = x

Switch sides

x = ln ((\frac{24}{5})^{2})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

x = 2 ln (\frac{24}{5})

0 = 2 x^{2} - 7 x - 30

- x^{2} - 5 x - 4 > 0

x^{2} + 18 x + 129 = 0

2 x + 11 = - 2 x - 8

\frac{3}{4} y - 11 \leq \frac{6}{5} + 12 y

What is the answer to ln((24/5)^2)=x ?
The answer to ln((24/5)^2)=x is x=2ln(24/5)
Solve for x: ln((24/5)^2)=x
The solution is x=2ln(24/5)