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Popular >

simplify log_{b}(z^3x)

Solution

simplify

lo g_{b} (z^{3} x)

Solution

3 lo g_{b} (z) + lo g_{b} (x)

Solution steps

lo g_{b} (z^{3} x)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{b} (z^{3} x) = lo g_{b} (z^{3}) + lo g_{b} (x)

= lo g_{b} (z^{3}) + lo g_{b} (x)

Simplify

lo g_{b} (z^{3}) : 3 lo g_{b} (z)

= 3 lo g_{b} (z) + lo g_{b} (x)

Popular Examples

simplify ln(y)+ln(9)simplify

ln (y) + ln (9)

simplify-log_{10}(4.9*10^{-10})simplify

- lo g_{10} (4.9 \cdot 1 0^{- 10})

simplify-log_{10}(7.2\times 10^{-4})simplify

- lo g_{10} (7.2 \times 1 0^{- 4})

simplify ln((e^8)/(10))simplify

ln (\frac{e ^{8}}{10})

simplify 1/4 log_{c}(x)+4log_{c}(y)-2log_{c}(x)simplify

\frac{1}{4} lo g_{c} (x) + 4 lo g_{c} (y) - 2 lo g_{c} (x)

Frequently Asked Questions (FAQ)

What is log_{b}(z^3x) ?
The solution to log_{b}(z^3x) is 3log_{b}(z)+log_{b}(x)