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
AVprozaik [17]
3 years ago
13

Solve the following exponential equations. (10^x)^2 − 3(10^x) + 2 = 0

Mathematics
1 answer:
Anika [276]3 years ago
7 0

Answer:

x=\frac{log(2)}{log(10)}

Step-by-step explanation:

Let:

y=10^{x}

So, rewritting the equation:

y^{2} -3y+2=0

Factoring:

(y-2)(y-1)=0

Therefore:

y=2\hspace{5}or\hspace{5}y=1

Substitute back for y=10^{x}

for y=2

Taking the logarithm base 10 of both sides:

x=\frac{log(2)}{log(10)}

for y=1

Taking the logarithm base 10 of both sides and adding 1 to both sides:

log(1)+x=\frac{log(2)}{log(10)}

log(1)=0

so:

x=\frac{log(2)}{log(10)}

Hence:

x=\frac{log(2)}{log(10)}

You might be interested in
Divide 132kg in a ratio of 3:3:5
borishaifa [10]
3 + 3 + 5 = 11 (11 total parts of the ratio.)

132 ÷ 11 = 12 (one part of the ratio)

Multiply 12 by the number of parts in the ratio:

12 × 3 = 36
12 × 3 = 36
12 × 5 = 60

Therefore, the final answer is 36:36:60 kg. 
3 0
4 years ago
Read 2 more answers
Amber and her two friends shared 1/2 of a pepperoni pizza. if they share the pizza equally what fraction of the pizza will each
AnnyKZ [126]

Answer:

They each will get 1/3

Step-by-step explanation:

4 0
3 years ago
HELP ASAP NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Sedbober [7]

Answer:

x +2y = 36

2x+3y =64

Step-by-step explanation:

x = price of a T-shirt

y = price of a puck

Adam buys a T-shirt and two souvenir pucks for $36.00

x +2y = 36

Luke spends $64.00 on two T-shirts and three pucks

64 = 2x+3y

Our system of equations is

x +2y = 36

2x+3y =64

6 0
4 years ago
Please help this is in my test tomorrow♡
MAVERICK [17]

Answer:

<u><em>67</em></u>

Step-by-step explanation:

<u><em>50-40+87-30</em></u>

=50+(- 40)+87(-30)

=50+87+(-40)+(-30)

=(50+87+(-40)+(-30)

=137+(-70)

=67

<u><em></em></u>

<u><em></em></u>

<u><em></em></u>

<u><em>when he wins, we add points. When he loses ,we subtract points.The score is 50 points. We right  an expression to find the final score </em></u>

5 0
3 years ago
I don't get this. I could really use help.​
olga nikolaevna [1]

The y intercept is what the y value is when x is 0.

Set X to 0 and solve:

-2/9(0) + 1/3

0 + 1/3 = 1/3

The y-intercept is 1/3

6 0
3 years ago
Other questions:
  • Can someone help me please?
    15·1 answer
  • The figure shows a line graph and two shaded triangles that are similar:
    6·1 answer
  • What is the answer 3 3/10- 2 23/100
    7·2 answers
  • Which type of plot would be most appropriate to display the responses to asking people about their type of residence​?
    7·2 answers
  • Can u help me with this ont to its if j=8.21 is j-3.41=3.19 true or false
    15·2 answers
  • Use the substitution method to solve the system of equations <br><br> 3x+2y=13<br><br> y=x-1
    11·1 answer
  • Elena receives ​$131 per year in simple interest from three investments totaling ​$3000. Part is invested at​ 3%, part at​ 4% an
    15·1 answer
  • Can somebody please answer this question correctly please
    12·2 answers
  • Select all the expressions equivalent to:
    7·1 answer
  • Ratio of 4 days to 72 hours is _____.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!