What is log_{2sqrt(7)}(49) ?

The solution to log_{2sqrt(7)}(49) is 2log_{2sqrt(7)}(7)

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simplify log_{2sqrt(7)}(49)

simplify

lo g_{27} (49)

2 lo g_{27} (7)

Solution steps

lo g_{27} (49)

Factor the number:

49 = 7^{2}

= lo g_{27} (7^{2})

Apply log rule:

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

lo g_{27} (7^{2}) = 2 lo g_{27} (7)

= 2 lo g_{27} (7)

(b)^{- \frac{2}{d}}

lo g_{2} (3 - 2)

16 i^{2}

\frac{x}{6 x}

121 x^{2} - 16

What is log_{2sqrt(7)}(49) ?
The solution to log_{2sqrt(7)}(49) is 2log_{2sqrt(7)}(7)