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
Firdavs [7]
3 years ago
13

Trigonometry. Solving exponential equations (lacking a common base):

Mathematics
1 answer:
cricket20 [7]3 years ago
4 0

Answer:

The answer to your question is x = 7.168

Step-by-step explanation:

Equation

                               9 .^{x - 6} = 13

Process

1.- Get logarithms in both sides of the equation

                        (x - 6) log 9 = log 13

2.- Pass log 9 to the right side

                         x - 6 = log 13 / log 9

3.- Solve for x

                        x = 6 + log 13 / log 9

4.- Simplification

                        x = 6 + 1.1139 / 0.9542

                        x = 6 + 1.168

                        x = 7.168

You might be interested in
How many liters of gasoline to fill 13.2 gallon tank?
densk [106]
<span><span>1.       </span><span>Find how many liters of gasoline to fill 13.2 gallon tank.
based on the metric conversion, there are 3.79 liters of liquid in every 1 liquid gallon.
Now, since we have 13.2 gallon tank, we need to multiply it with the given unit of conversion
=> 1 gallon = 3.79 liters
=> 13.2 gallon x 3.79 liters
=> 13.2 x 3.79
</span>=> 50.028, therefore it needs around 50.028 liters of gasoline to be able to fill the 13.2 gallon tank</span>



5 0
3 years ago
Help pleas eldkjsdweggrwsddwsf
Cloud [144]
I agree with the top guy
7 0
3 years ago
Mr. Whitley works at a furniture store and
photoshop1234 [79]
750 I iiiiiiiiiioiiii
4 0
3 years ago
Need help on numbers 1 and 2 ill mark brainliest if they are right
geniusboy [140]

Question author, it's spelled pi not pie, and we use just use the Greek letter π.  Students, demand better from your teachers.

1. Rectangular prism, aka a box. Volume is length times width times height.

V = 5×7×9 = 315 cubic feet

That's cubic feet of course, the product of three lengths.  We didn't even need to do the problem, just look for the common answer and pick the one with the right units.  I just saw that same pattern in a volume problem yesterday.

Answer: 315 cubic feet, first choice

2. Cylinder, volume is base area times height, πr²h.   We have a radius of r=14/2=7 yd and h=8 yd.  We're using π=3.14.

V = πr²h = 3.14(7²)(8) = 1230.88 cubic yds

Answer: 1230.9 cubic yards, last choice

5 0
4 years ago
The zoo needs to replace some of the railroad tracks that support their train ride. The total length of the track is 500 feet,
Darya [45]

Answer:

293 feet.

Step-by-step explanation:

Their track is 500 feet, and there are three sections. Add these sections(61+83+63=207) and subtract from the total(500-207=293)

3 0
2 years ago
Other questions:
  • I need help Brainliest
    12·1 answer
  • 4. What key features of a quadratic graph can be identified and how are the graphs affected when the constants or coefficients a
    13·2 answers
  • Malika decides to use some of her savings to buy a bicycle. She compares the prices of 3 brands of bicycles: the RacerZ, the Spe
    10·1 answer
  • The polar coordinates of a point are given. find the rectangular coordinates of this point.(5, 3pi/4
    11·1 answer
  • Given f (X) = 4x +6 find f (x) = 54
    8·2 answers
  • Six times the sum of a number and seven is 30. Find the number.
    14·2 answers
  • rope price of length 45cm 25 cm and 81 cm have to be cut into same size pieces what is the smallest price length possible​
    13·1 answer
  • 1 The table below shows the number of minutes spent walking and the approximate calories burned. Is
    14·1 answer
  • Please help me thank you
    7·1 answer
  • A rectangular swimming pool with a length of 18m and width of 8m is surrounded by a concrete patio. The patio is a uniform 3m wi
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!