What is ((ln(20)+ln(25)))/(3ln(5)) ?

The solution to ((ln(20)+ln(25)))/(3ln(5)) is (ln(500))/(3ln(5))

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simplify ((ln(20)+ln(25)))/(3ln(5))

simplify

\frac{( ln ( 20 ) + ln ( 25 ) )}{3 ln ( 5 )}

\frac{ln ( 500 )}{3 ln ( 5 )}

Decimal Notation

1.28711 \dots

Solution steps

\frac{( ln ( 20 ) + ln ( 25 ) )}{3 ln ( 5 )}

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (20) + ln (25) = ln (20 \cdot 25)

= \frac{ln ( 20 \cdot 25 )}{3 ln ( 5 )}

Multiply the numbers:

20 \cdot 25 = 500

= \frac{ln ( 500 )}{3 ln ( 5 )}

\frac{1}{2} ln (9 x^{2}) + 2 ln (x) - 3 ln (2 x)

- 2 ln ∣ ln (x) ∣ - ln (x)

10 \cdot ln (0.5 \cdot X)

6 lo g_{9} (x) - 3 lo g_{9} (y)

- lo g_{10} (8.7 \cdot 1 0^{- 9})

What is ((ln(20)+ln(25)))/(3ln(5)) ?
The solution to ((ln(20)+ln(25)))/(3ln(5)) is (ln(500))/(3ln(5))