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prohojiy [21]
1 year ago
6

I know the answer just need someone explain to me how to solve it

Mathematics
1 answer:
Vinvika [58]1 year ago
3 0

The logarithm of a quotient can be written as a difference of logarithms:

\log_3\left(\dfrac uv\right) = \log_3(u) - \log_3(v)

You can also think of this as a combination of the product-to-sum and reciprocal/power properties of logarithms:

\log_3\left(\dfrac uv\right) = \log_3\left(u \times \dfrac1v\right) = \log_3(u) + \log_3\left(\dfrac1v\right) = \log_3(u) - \log_3(v)

To summarize,

\log_b(mn) = \log_b(m)+\log_b(n)

\log_b\left(\dfrac mn\right) = \log_b(m) - \log_b(n)

\log_b\left(m^n\right) = n \log_b(m)

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