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Popular >

simplify log_{5}(75)-log_{5}(3)

Solution

simplify

lo g_{5} (75) - lo g_{5} (3)

Solution

2

Solution steps

lo g_{5} (75) - lo g_{5} (3)

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{5} (75) - lo g_{5} (3) = lo g_{5} (\frac{75}{3})

= lo g_{5} (\frac{75}{3})

\frac{75}{3} = 5^{2}

= lo g_{5} (5^{2})

Apply log rule:

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

= 2

Popular Examples

factor-6mp+4m+18p-12 factor

- 6 m p + 4 m + 18 p - 12

\frac{2}{3} (3 t - 6) + 1 = 5

simplify (1225pi)/2*320/3 simplify

\frac{1225 π}{2} \cdot \frac{320}{3}

- \frac{1}{2} x + 1 \geq - \frac{3}{2}

5 x^{2} - 20 x + 36 = 0

Frequently Asked Questions (FAQ)

What is log_{5}(75)-log_{5}(3) ?
The solution to log_{5}(75)-log_{5}(3) is 2