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
Gnoma [55]
3 years ago
7

Solve each exponential equation. 6^x+2 = 12

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
7 0

Answer:

The solution is x = 1/log(6)

Step-by-step explanation:

Hi there!

First, let´s write the equation:

6ˣ + 2 = 12

subtract 2 at both sides of the equation

6ˣ = 10

apply log at both sides of the equation

log(6ˣ) = log(10)       log(10) = 1

Apply logarithm property: log(xᵃ) = a log(x)

x log(6) = 1

Divide both sides by log(6)

x = 1/log(6)

The solution is x = 1/log(6)

Have a nice day!

You might be interested in
The Suarez family paid $15.75 for 3 movie tickets. How much would they have paid for 12 tickets?
Serjik [45]

Answer:

$63

Step-by-step explanation:

15.75 / 3 = 5.25

5.25 is what each ticket was worth

5.25 * 12 = 63

8 0
3 years ago
Read 2 more answers
Is the figure, z || y and a is a transversal that crosses the parallel lines.
Juliette [100K]

Answer:

d

Step-by-step explanation:

4 0
3 years ago
Clear selection
viva [34]

Answer:

B Inverse Variation

Step-by-step explanation:

I think that is the answsr

6 0
3 years ago
Read 2 more answers
A car is traveling at a rate of 72 miles per hour. What is the car's rate in feet per second? How many feet will the car travel
seraphim [82]

Answer:

A

Step-by-step explanation:

5 0
3 years ago
Work out the size of the angle marked X.<br> Give your answer correct to 1 decimal place.
Maurinko [17]

Answer:

41.8°

Step-by-step explanation:

We solve using the Trigonometric function of Sine

Hypotenuse = 15cm

x = θ

Opposite = 10cm

sin θ = Opposite/Hypotenuse

sin θ = 10/15

θ = arc sin ( 10/15)

θ = 41.810314896°

θ = Approximately to 1 decimal place = 41.8°

Therefore, x = θ = 41.8°

5 0
3 years ago
Other questions:
  • A parallelogram has a base of 12 cm and a height of 8 cm. What is the area of the parallelogram?
    12·1 answer
  • What is 3.1 rounded to the tenths
    9·2 answers
  • Javier used the equivalent ratios to find the number of millimeters in 8 inches.
    12·1 answer
  • Please answer this quick I don't have much time!
    7·2 answers
  • 52/30 simplified to lowest point
    9·1 answer
  • I am ab odd number i am less than 100 the sum of my digits is 12 i am a multible of 15 what number amm i
    7·1 answer
  • Which equation can be used to solve for x, the increase in<br> side length of the square in inches?
    6·2 answers
  • Y = 4x – 18<br> y = -5x +9
    15·2 answers
  • Help<br> -------<br> Picture showed
    14·1 answer
  • What percent of 70 is 35
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!