What is log_{3sqrt(5)}(25) ?

The solution to log_{3sqrt(5)}(25) is 2log_{3sqrt(5)}(5)

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simplify log_{3sqrt(5)}(25)

simplify

lo g_{35} (25)

2 lo g_{35} (5)

Decimal Notation

1.69118 \dots

Solution steps

lo g_{35} (25)

Factor the number:

25 = 5^{2}

= lo g_{35} (5^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

lo g_{35} (5^{2}) = 2 lo g_{35} (5)

= 2 lo g_{35} (5)

\frac{x}{3} + \frac{2 x}{5}

\frac{90}{1000}

\frac{5}{4} \times 4

1 \frac{11}{25}

x \times x \times x \times x

What is log_{3sqrt(5)}(25) ?
The solution to log_{3sqrt(5)}(25) is 2log_{3sqrt(5)}(5)