All categories

2 years ago

Determine if converges or diverges. Show steps

Mathematics

1 answer:

Brut [27]2 years ago

6 0

(3^x-2)/9^x=1/3^x-2/9^x
which converges by thereom
it converges to 10/72=5/36
id show work if i could but take my word,
if u cant solve it try working out a few partial sums

You might be interested in

Given log Subscript 3 Baseline 2 almost-equals 0. 631 and log Subscript 3 Baseline 7 almost-equals 1. 771, what is log Subscript

kari74 [83]

You can use the properties of logarithm to get to the solution.

The approximate value for given term is given by

$log_3(14) \approx 2.402$

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

$a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = log_a(c)$

Some properties of logarithm are:

$log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})$

<h3>Using the above properties</h3>

$log_3(2) + log_3(7) = log_3(2 \times 7) = log_3(14)\\\\0.631 + 1.771 = log_3(14)\\\\log_3(14) = 2.402$

Thus,

The approximate value for given term is given by

$log_3(14) \approx 2.402$

Learn more about logarithm here:

brainly.com/question/20835449

5 0

2 years ago

Read 2 more answers

Pleas Help!!!<br> |2s-7|≥-1

Paul [167]

Answer:

\frac{1}{2}s=\frac{7}{2}

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

It snowed 14 cm in 5 hours. what is the unit rate

Dmitriy789 [7]

Answer:

2.8cm per 5 hours

Step-by-step explanation:

6 0

2 years ago

30p + 25r + 20c = 30. 6 + 25.4 + 20.9

erastova [34]

Step-by-step explanation:

i cant do this

7 0

2 years ago

Read 2 more answers

CAN SOMEONE HELP ME PLEASE

AleksAgata [21]

It’s 0.39 Hope this helps!

8 0

2 years ago