1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andriy [413]
2 years ago
15

Given log5 3=0.6826 and log5 8=1.2920, evaluate the expressions Please help!?

Mathematics
2 answers:
agasfer [191]2 years ago
7 0

\begin{array}{llll} \textit{Logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array} \\\\\\ \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}

\log_5(9)\implies \log_5(3^2)\implies 2\log(3)\implies 2(0.6826)~~ \approx~~1.3652 \\\\[-0.35em] ~\dotfill\\\\ \log_5\left( \cfrac{75}{8} \right)\implies \log_5(75)~~ - ~~\log_5(8)\implies \log_5\left( \cfrac{75}{8} \right) \\\\\\ \log_5(3\cdot 5^2)~~ - ~~\log_5(8)\implies [\log_5(3)~~ + ~~\log_5(5^2)]~~ - ~~\log_5(8) \\\\\\ \log_5(3)~~ + ~~2\log_5(5)~~ - ~~\log_5(8) \\\\\\ 0.6826~~ + ~~2~~ - ~~1.2920\implies 1.3906

gulaghasi [49]2 years ago
3 0

Answer:

a) 1.3652

b) 1.3906

Step-by-step explanation:

a) log5 9 = log5 3² = 2log5 3 = 2(0.6826) = 1.3652

b) log5 75/8 = log5 75 - log5 8 = log5 3×25 - log5 8=

log5 3 + log5 5² - log5 8 = 0.6826 + 2 - 1.2920 = 0.6826 + 0.708 = 1.3906

You might be interested in
Solve for x, 8+2/7x=12?Help?
Minchanka [31]

Answer:

X= 14

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Can anyone help me out on this question
statuscvo [17]

12/4(-1)+2=

12/-4+2 =

12/-2 =

-6

8 0
2 years ago
Read 2 more answers
The sales tax rate is 10%. If Dillion buys a beach umbrella priced at $93, how much tax will he pay
Diano4ka-milaya [45]

Step-by-step explanation:

90 cents is ur answer i believe

5 0
3 years ago
Read 2 more answers
Please help me and explain the anwser
natita [175]
ANSWER: y=7 is the equation Of the line that passes to through the point (-2,7) and Has a slope of zero.
8 0
2 years ago
100.6 + 296.5 using<br> mental math
ruslelena [56]

Answer:397.1....i think

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • The phone company charges 10 cents to connect a call for one minute and 8 cents per minute after that. How long could you talk o
    5·1 answer
  • A Number plus it’s half is 21<br> How to write an equation?
    5·1 answer
  • The tip for excellent service in a restaurant is 20%. Micheal’s bill was $70 and he believed he recieved excellent service. How
    9·1 answer
  • Please help me I’m desperate for help.........due tomorrow multiple choice
    8·1 answer
  • Write the ratio 9 inches to 7 feet as a fraction in simplest form​
    12·1 answer
  • Help step by step on how to do
    9·1 answer
  • How do i solve for x
    14·2 answers
  • Please can someone help me with this!
    15·1 answer
  • A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the sh
    15·1 answer
  • The line plot below shows the number of juice boxes Sandy drank on specific days. On which dates did Sandy drink the most and th
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!