What is expand 3ln_{7}(4)+ln_{7}(6) ?

The solution to expand 3ln_{7}(4)+ln_{7}(6) is ln_{7}(384)

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expand 3ln_{7}(4)+ln_{7}(6)

expand

3 ln_{7} (4) + ln_{7} (6)

ln_{7} (384)

Decimal Notation

5.95064 \dots

Solution steps

3 ln_{7} (4) + ln_{7} (6)

Apply log rule:

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

3 ln_{7} (4) = ln_{7} (4^{3})

= ln_{7} (4^{3}) + ln_{7} (6)

Apply log rule:

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

ln_{7} (4^{3}) + ln_{7} (6) = ln_{7} (4^{3} \cdot 6)

= ln_{7} (4^{3} \cdot 6)

Expand

4^{3} \cdot 6 : 384

= ln_{7} (384)

lo g_{1.8} (\frac{8.13}{3.12}) + 52.11 - 54.01

lo g_{10} (4 p^{3})

- lo g_{10} (5.34 \cdot 1 0^{- 3})

6 [ln (x) - ln (x + 5) - ln (\cdot (- 5))]

- lo g_{10} (7.9 \cdot 1 0^{- 7})

What is expand 3ln_{7}(4)+ln_{7}(6) ?
The solution to expand 3ln_{7}(4)+ln_{7}(6) is ln_{7}(384)