What is changebase log_{7}(52) ?

The solution to changebase log_{7}(52) is (ln(52))/(ln(7))

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changebase log_{7}(52)

change base

lo g_{7} (52)

\frac{ln ( 52 )}{ln ( 7 )}

Decimal Notation

2.03053 \dots

Solution steps

lo g_{7} (52)

Apply log rule:

lo g_{a} (b) = \frac{lo g _{c} ( b )}{lo g _{c} ( a )}

lo g_{7} (52) = \frac{ln ( 52 )}{ln ( 7 )}

= \frac{ln ( 52 )}{ln ( 7 )}

ln ∣ x + 1 ∣ - \frac{1}{2} ln x^{2} + 1 + arctan (x) + C

ln (\frac{4 x}{x + 1})

4.7 + lo g_{10} (\frac{0.2}{0.1})

3 ln ∣ x - 3 ∣ + 5 ln ∣ x + 2 ∣ + \frac{5}{9} ln ∣ 2 x + 3 ∣

lo g_{10} (a) + 4 lo g_{10} (b) - 2 lo g_{10} (c)

What is changebase log_{7}(52) ?
The solution to changebase log_{7}(52) is (ln(52))/(ln(7))