1003102412 | math4u.vsb.cz

SubArea:

Calculations with logarithms

Level:

Project ID:

1003102412

Source Problem:

Accepted:

1

Clonable:

1

Easy:

0

If

a

,

b

,

c \in (0; \infty)

then the expression

\log_{5} a - \frac{2}{3} \log_{5} b + 3 \log_{5} c

is equivalent to:

\log_{5} \frac{a c^{3}}{\sqrt[3]{b^{2}}}

\log_{5} \frac{a \sqrt[3]{b^{2}}}{c^{3}}

\log_{5} \frac{3 a c}{\frac{2}{3} b}

\log_{5} \frac{\frac{2}{3} a b}{3 c}