What is 15log_{5}(a)+3log_{5}(b) ?

The solution to 15log_{5}(a)+3log_{5}(b) is log_{5}(a^{15}b^3)

Popular >

simplify 15log_{5}(a)+3log_{5}(b)

simplify

15 lo g_{5} (a) + 3 lo g_{5} (b)

lo g_{5} (a^{15} b^{3})

Solution steps

15 lo g_{5} (a) + 3 lo g_{5} (b)

Apply log rule:

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

15 lo g_{5} (a) = lo g_{5} (a^{15})

= lo g_{5} (a^{15}) + 3 lo g_{5} (b)

Apply log rule:

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

3 lo g_{5} (b) = lo g_{5} (b^{3})

= lo g_{5} (a^{15}) + lo g_{5} (b^{3})

Apply log rule:

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

lo g_{5} (a^{15}) + lo g_{5} (b^{3}) = lo g_{5} (a^{15} b^{3})

= lo g_{5} (a^{15} b^{3})

9 ln (x + 9) - 8 ln (x)

ln ((sin (x))^{3})

20 \cdot lo g_{10} (\frac{x \cdot 2 π \cdot 628.32}{( 10 \cdot 0.02 )})

ln (\frac{x}{x - 8}) + ln (\frac{x + 8}{x})

\frac{1}{6} \cdot ln (\frac{1}{9 ^{3}})

What is 15log_{5}(a)+3log_{5}(b) ?
The solution to 15log_{5}(a)+3log_{5}(b) is log_{5}(a^{15}b^3)