What is join (5ln(29/74))/(ln(59/74)) ?

The solution to join (5ln(29/74))/(ln(59/74)) is (ln(\frac{20511149)/(74^5))}{ln(59/74)}

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join (5ln(29/74))/(ln(59/74))

join

\frac{5 ln ( \frac{29}{74} )}{ln ( \frac{59}{74} )}

\frac{ln ( \frac{20511149}{7 4 ^{5}} )}{ln ( \frac{59}{74} )}

Decimal Notation

20.67670 \dots

Solution steps

\frac{5 ln ( \frac{29}{74} )}{ln ( \frac{59}{74} )}

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

5 ln (\frac{29}{74}) = ln ((\frac{29}{74})^{5})

= \frac{ln ( ( \frac{29}{74} ) ^{5} )}{ln ( \frac{59}{74} )}

(\frac{29}{74})^{5} = \frac{2 9 ^{5}}{7 4 ^{5}}

= \frac{ln ( \frac{2 9 ^{5}}{7 4 ^{5}} )}{ln ( \frac{59}{74} )}

2 9^{5} = 20511149

= \frac{ln ( \frac{20511149}{7 4 ^{5}} )}{ln ( \frac{59}{74} )}

20 \cdot lo g_{10} (\frac{x \cdot 2 π \cdot 3}{( 10 \cdot 0.02 )})

lo g_{10} (116 - x^{2}) - 2 lo g_{10} (x - 1)

5 (ln ∣ 1 - 5 ∣ - ln ∣ 1 - 4 ∣) + 1

ln (a \cdot e^{x})

3 lo g_{a} (x) - \frac{1}{4} lo g_{a} (w) + 7 lo g_{a} (y)

What is join (5ln(29/74))/(ln(59/74)) ?
The solution to join (5ln(29/74))/(ln(59/74)) is (ln(\frac{20511149)/(74^5))}{ln(59/74)}