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
max2010maxim [7]
3 years ago
13

2^x+5 = 3^1-x use logarithms to solve the exponential equation. round answer to 3 decimal places.

Mathematics
2 answers:
marysya [2.9K]3 years ago
8 0
2^{x+5}=3^{1-x}\ \ \ \ \ /log_2()\\\\log_22^{x+5}=log_23^{1-x}\\\\x+5=(1-x)log_23\\\\x+5=log_23-xlog_23\\\\x+xlog_23=log_23-5\\\\x(1+log_23)=log_23-5\ \ \ \ /:(1+log_23)

x=\frac{log_23-5}{1+log_23}\\-------------\\log_23\approx1.5849625\\----------------\\x\approx\frac{1.5849625-5}{1+1.5849625}\approx-1.321
NeX [460]3 years ago
6 0
2^x+5 = 3^1-x
take log on both sides
(x+5)log2=(1-x)log3
0.3010(x+5) = (1-x)0.4771
0.3010x + 1.5050 = 0.4771 - 0.4771x
0.7781x= -1.0279
x=-1.320

You might be interested in
On a 3-week vacation to Paris, Martha's expenses for food, gifts, and accommodations was 80$ less than 3 times her airfare. If t
Nady [450]
Martha’s airfare is$2410
5 0
3 years ago
2 (4x - 8) + 16t = 48
Effectus [21]
Distributive property first so you wanna do 2•4 then you will get 8x then you have to do 2•8 Wich is 16 then you will end up with 8x-16+16t=48 move the expression to the right 8x=48+16-16t 8x=64-16t x=8-2t?
8 0
3 years ago
If triangle ABC = triangle PQR and triangle RPQ = triangle XYZ, which of the following angles is congruent angle CAB?
murzikaleks [220]

Answer:

c

3Step-by-step explanation:

1-1hjdf

4 0
3 years ago
Read 2 more answers
Are 5/6 and -4.713 on the same side or the opposite side of zero ?
Alchen [17]
They are on opposite sides of zero because one number is negative and one is positive
8 0
3 years ago
If a=under root s(s-a)(s-b)(s-c) then the value of a, when a =3 b =4c = 5 and s =a+b+c by 2
kramer

Answer:

6

Step-by-step explanation:

Here it's given that ,

\sf\red{\longrightarrow} A=\sqrt{s(s-a)(s-b)(s-c)}

Also ,

\sf\red{\longrightarrow} s =\dfrac{a+b+c}{2}

And we need to find out the value of A , when

  • a = 3
  • b = 4
  • c = 5

So , on substituting the respective values to find s we have ,

\sf\red{\longrightarrow} s =\dfrac{3+4+5}{2}=\dfrac{12}{2}=\bf{6}

Now let's find out A as ,

\sf\red{\longrightarrow} A = \sqrt{6(6-3)(6-4)(6-5)} \\

\sf\red{\longrightarrow}A =\sqrt{6 * 3 * 2 * 1}\\

\sf\red{\longrightarrow} A = \sqrt{3^2 * 2^2 *1^2}\\

\sf\red{\longrightarrow}A = 3*2\\

\sf\red{\longrightarrow}\boxed{\qquad \blue{\bf A = 6 \qquad}}

7 0
2 years ago
Other questions:
  • Sarah invested $800 in an account paying an interest rate of 3.5% compounded quarterly. Assuming no deposits or withdrawals are
    14·1 answer
  • Could anyone solve this??<br> Make m the subject of the formula<br><br> 6m²=k<br><br> Anyone??
    14·1 answer
  • 15 POINTS!!! How do the rules for adding and subtracting signed decimals compare with the rules for adding and subtracting integ
    13·1 answer
  • The sum of a 3 digit number and a 1 digit number is 223 the product of the numbers is 660 if one number is between 200 and 225 w
    5·1 answer
  • 5
    7·1 answer
  • If y varies directly as x, and y is 16 when x is 4, when y= 24 what is the value of x?
    14·1 answer
  • The graphs of the function f (given in blue) and g (given in red) are plotted above. Suppose that u(x)=f(x)g(x) and v(x)=f(x)/g(
    5·1 answer
  • The<br> symbol is used to represent the ratio of the circumference to the diameter of a circle.
    9·2 answers
  • The Nelson family lives in a town where there is a swim club. At the beginning of the summer, they pay a membership fee of $40 a
    15·1 answer
  • The question in the picture
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!