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
lidiya [134]
3 years ago
8

Explain how to solve 3^x-4=6 using the change of base formula log base b of y equals log y over log b. include the solution for

x in your answer. Round your answer to the nearest thousandth.
Mathematics
1 answer:
Alexxandr [17]3 years ago
7 0

Answer:

x = log 10/log 3

Step-by-step explanation:

3^x - 4 = 6

3^x = 10

We take log base 3 of both sides since log_3 3^x is simply x.

log_3 3^x = log_3 10

x = log_3 10

We have an answer for x, but it is a log base 3. We want log base 10.

Now we use the change of base formula.

log_b y = log y/log b

x = log 10/log 3

You might be interested in
An account earns simple interest. $700 at 8% for 6 years
Karolina [17]
It earned $336 in interest and the new balance is $1036.
7 0
4 years ago
A football team started at the line of scrimmage. On the first play of the drive, the team lost 4 yards. On the second play of t
jolli1 [7]

Answer:

<u>D. Taylor correctly found the distance between –4 and 45, but this number represents the total distance the team moved in both directions, not the team’s total gain.</u>

Step-by-step explanation:

The team only ended up gaining the 45 yards on the second play and had gained -4 on the first play.  45-4≠49, but the total distance between -4 and 45 is 49.

7 0
3 years ago
Read 2 more answers
Given g(x)=-5x-4, solve for x when g (x)=1
zubka84 [21]

Answer:

1 = -5x-4  add 4 to both sides

-5x = 1+4 divide both sides by (-5)

x = -5/5

x= -1

5 0
3 years ago
if the ratio of the volume of two cubes is 1 : 8 , then find the ratio of the total surface area of the two cubes​
vivado [14]

Answer:

V = L^3      where v is volume and L the length of one side

A = 6 * L^2    total area of cube with side L

A = 6 * V^2/3      area of cube expressed in V

A2 / A1 = (V2 / V1)^2/3       6 cancels

A2 / A1 = 8^2/3 = 4      ratio of areas

3 0
3 years ago
Which of the following demonstrates the Distributive Property?
Nata [24]
4(2a+3) = 8a+ 12 This represents the distribution property because it multiplies everything in the parentheses. 4 X 2a = 8a 4X3=12
4 0
4 years ago
Read 2 more answers
Other questions:
  • What is the answer?<br> l-8l+4(-5+9)/2.<br> A-24<br> B-12<br> C-16<br> D-0
    8·1 answer
  • Please I need help on this question asap
    8·1 answer
  • What is another name for 23 ten thousands
    5·2 answers
  • Here are the numbers of children in 14 elementary school classes.
    12·2 answers
  • Which statement(s) most directly apply to communism?
    8·2 answers
  • Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years. They both purchased new cars this year.
    7·1 answer
  • Product of 9 and m.​
    5·2 answers
  • Solve for x. Can anyone help?
    14·1 answer
  • —only $4.95!" Thus, each daily lunch special consists of a salad, a soup, a sandwich, and a drink. How many different daily lunc
    10·1 answer
  • Do the ratios 20/16 and 5/4 form a proportion?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!