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
Oksanka [162]
3 years ago
14

Solve each exponential equation by using properties of common logarithms. When necessary, round answers to the nearest hundredth

. 7 ^3x-1 = 5 ^x-1
x ≈ 12.33
x ≈ -3.09
x ≈ 0.08
plss help mee
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
7 0

Answer:

0.08

Step-by-step explanation:

Please use parentheses to indicate which operations must be done first.  I 'm choosing to believe that you meant 7^(3x-1) and 5^(x-1).

Taking the common log of both sides, we get:

(3x-1)log 7 = (x-1)log 5

Then 3x·log 7 - log 7 = x log 5 - log 5

Grouping the x terms:

x(3·log 7 - log 5) = log 7 - log 5.  We combine log 7 and log 5, obtaining log (7/5).

Then x(3·log 7 - log 5) = log (7/5).

Solving for x:

      log (7/5)

x = ---------------------

      3·log 7 - log 5

        0.1461

x   = ------------- = 0.08

         1.0363

This agrees with the 3rd answer choice.

You might be interested in
I have a few :)
katovenus [111]
1. 30/23, do the math, if you cant do simple math, use a calculator

2a. 2.60 x 35 = distance of the laps together
t = d/s
t = distance of the laps ÷ 182m/h

2b. You have the info, do it urself

3a. 30 x 6. Not that hard, giving you hints here

3b. Look at the answer at 3a, now look at what your friend wrote. Clearly he/she listened to some dumb person on brainy

4. s = d/t
s = 22/30. Again, use a calculator

I did basically all the work for you. Just get up your lazy butt to get a calculator. Not that hard! I probably am smaller and younger than you!

I better get brainilest for this...

You're welcome :)
3 0
3 years ago
Plz help will give brainliest
ryzh [129]

Answer:

1.275

Explanation:

The given equation is:

f(x) = 0.01(2)ˣ

We want to find the rate of change from 2 to 10 which means that we need to find the slope from 2 to 10.

We start by getting the y-values for each of the given x-values:

at x = 2 ..........> y = 0.01(2)² = 0.04 ...........> point is (2, 0.04)

at x = 10 .........> y = 0.01(2)¹⁰ = 10.24 .........> point is (10, 10.24)

Now, we get the slope as follows:

slope =

Hope this helps :)

3 0
3 years ago
Read 2 more answers
What is 1/10 of 0.9?
GaryK [48]
0.09 Is The Answer! Hope I Helped!
6 0
3 years ago
I have a bag of trail mix. One half of the bag is peanuts 1/4 of the bag is chocolate candies,1/4 of the bag is dried fruit. Wha
lana66690 [7]
50% or 1/2 or 1:2 would be your answer
3 0
3 years ago
16+10/5-3*2=12 true or false.
Zina [86]
We need to follow the order of operations to get this one right. 
16 + (10/5) - (3*2)
16 + (2) - (6)
16 + 2 - 6
18 - 6
12<em /><em>. </em>Your answer is true!

6 0
3 years ago
Other questions:
  • Given a regular octagon with each side length of 6 units and an apothem of 7.243 units. What is the area of the octagon? (Need t
    10·1 answer
  • Write a real world problem using mixed numbers whose sum is 1 3/5
    12·1 answer
  • Please help me with #57
    13·1 answer
  • The radius of a circle is 2 feet wat is the circles circumference?use 3.14 for n
    7·1 answer
  • The model represents x2 – 9x + 14. Which is a factor of x2 – 9x + 14? x – 9 x – 2 x + 5 x + 7
    8·2 answers
  • 10) Richard’s brain is 0.026 of his body weight. What percent of Richard’s body weight is his brain?
    5·1 answer
  • Plz help me well mark brainliest!!
    14·2 answers
  • (Repost) please help what is 7 7/10 rounded to the nereast whole number?? please explain your answer if you got it cause I can L
    9·2 answers
  • The population of a town is increasing by 4.7% each year. If the town has 21,802 people now, how many people will it have in 7 y
    6·2 answers
  • 1+1-1+2+3/4x8+56+1-7
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!