What is log_{9sqrt(3)}(243) ?

The solution to log_{9sqrt(3)}(243) is 5log_{9sqrt(3)}(3)

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simplify log_{9sqrt(3)}(243)

simplify

lo g_{93} (243)

5 lo g_{93} (3)

Decimal

2

Solution steps

lo g_{93} (243)

Factor the number:

243 = 3^{5}

= lo g_{93} (3^{5})

Apply log rule:

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

lo g_{93} (3^{5}) = 5 lo g_{93} (3)

= 5 lo g_{93} (3)

(x + 2)^{5}

- 100

\frac{1}{5}

(s - 1)^{2}

- 2^{0}

What is log_{9sqrt(3)}(243) ?
The solution to log_{9sqrt(3)}(243) is 5log_{9sqrt(3)}(3)