jessxann22 jessxann22
  • 11-10-2019
  • Mathematics
contestada

some help me with this please!!

some help me with this please class=

Respuesta :

Аноним Аноним
  • 11-10-2019

First of all observe that

[tex]r^6s^3=(r^2s)^3 \implies \sqrt[3]{r^6s^3}=\sqrt[3]{(r^2s)^3}=r^2s[/tex]

So, we have

[tex]\log(r^5s^6\sqrt[3]{r^6s^3})=\log(r^5s^6\cdot r^2s)[/tex]

We can simplify the input as

[tex]\log(r^5s^6\cdot r^2s)=\log(r^7s^7)[/tex]

The logarithm of a multiplication is the sum of the logarithms:

[tex]\log(r^7s^7)=\log(r^7)+\log(s^7)[/tex]

Finally, invoke the logarithm property [tex]\log(a^b)=b\log(a)[/tex]

to get the final answer

[tex]\log(r^7)+\log(s^7)=7\log(r)+7\log(s)[/tex]

Answer Link

Otras preguntas

Mark the three statements that are TRUE. The Democrats blamed the Republicans for the Stock Market crash of 1929. The Democrats won the Presidency in the 90's b
you buy a buy a bicycle helmet for $22.26, which includes 6% sales tax. the helmet is discounted 30% off the selling price. what is the original price? Please a
What four countries border Italy?
The sale price for a bicycle is $315 dollars. The original price was first discounted by 50% and then discounted an additional 10%. Find the original price of
Sentences with expedition
what is the decimal form for 1.16
if a stamp costs 45 cents, what does a roll of 125 stamps cost in cents? what is your amount in dollars
If stranded on a deserted island with no freshwater, it is not advisable to drink sea water. Why not? A) The salty snacks cause an ionic imbalance that triggers
95 is 50% of what number?
what is overproduction