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
natima [27]
4 years ago
6

What is the solution to log5(10x-1)=log5(9x=7)

Mathematics
1 answer:
zepelin [54]4 years ago
4 0

Domain:\\\\10x-1 > 0\ and\ 9x+7 > 0\\\\10x > 1\ and\ 9x > -7\\\\x > \dfrac{1}{10}\ and\ x > -\dfrac{7}{9}\Rightarrow x > \dfrac{1}{10}\\\\D=\left\{x|x > \dfrac{1}{10}\right\}\\\\\log_5(10x-1)=\log_5(9x+7)\iff10x-1=9x+7\qquad\text{add 1 to both sides}\\\\10x=9x+8\qquad\text{subtract 9x from both sides}\\\\x=8\in D\\\\Answer:\ \boxed{x=8}

You might be interested in
A 16-ounce carton of milk costs 63 cents, while a half-gallon jug of milk sells for $2.24. How much more expensive, in cents per
hram777 [196]
1 quart of the 16oz jug is $1.26 (.63x2) 1 quart of the half gallon is $1.12 (2.24/2) so 1.26-1.12= 0.14 the 16oz jugs are 14 cents more expensive than the half gallon
5 0
3 years ago
Find the value of x in the rectangle below.​
ololo11 [35]
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x
=
13
3
x
=
13
3
Decimal Form:
x
=
4.
¯
3
x
=
Mixed Number Form:
x
=
4
1
3
6 0
2 years ago
What is the approximate area of a circle shown below?
hoa [83]

To find the area of a circle, the equation we use is 3.14*r^2.

We know 17^2 is 289.

So to find the area, we simply multiply 289 by 3.14, which would be 907.46

The answer is option B.

6 0
3 years ago
Read 2 more answers
Help due Monday......
pantera1 [17]

Step-by-step explanation:

<u>5</u><u>)</u><u> </u>2.4×10^-5 / 4.5×10^-11

  • 2.4×10^-5= 0.000024
  • 4.5×10^-11= 0.000000000045

=0.000024/0.000000000045

=24/1 × 1,000,000/45

=24,000,000/45

=533,333.33°

=5.33333°×10^5

**NOT SURE ABOUT THIS QUESTION

<u>6</u><u>)</u><u> </u>(4,-2)

<u>7</u><u>)</u> --------

<u>8</u><u>)</u>

  1. 2x + 3 = 5x - 2

  • 2x - 5x = - 2 - 3
  • -3x = -5
  • x = -5/-3
  • x = 1.66°

  1. 6x + 4 = 6x + 4
  • 6x - 6x = 4 - 4
  • 0x = 0

  1. 2 (2x + 3) = 8x - 2
  • 4x + 6 = 8x - 2
  • 4x - 8x = -2 - 6
  • -4x = -8
  • x = -8/-4
  • x = 2

  1. -3x + 2 = -3x + 5
  • -3x + 3x = 5 - 2
  • 0x = 3

Letter be has no solution because it is broken down as "0x = 0"

6 0
3 years ago
What type of triangle is shown here?
Naddika [18.5K]
Equilateral because all sides are equal
5 0
3 years ago
Other questions:
  • Parallel to y=-1/4x-12 through (12,10)
    9·1 answer
  • What is the percent of increase from 30 to 51??
    10·1 answer
  • Please answer this in two minutes there can be more than one option
    12·1 answer
  • HELP QUICK!!!!!!!!!!!!!!!!!!!!!!!
    14·1 answer
  • What is the total area for this prism?
    15·2 answers
  • Write a number that is greater than 4.508 but less than 4.512
    15·2 answers
  • Use the calculator to find the following to the nearest thousandth.
    14·2 answers
  • What are the coordinates of V' when (T&lt;-3, 1&gt; ° D.)(TUV) of T(-7,-6), U(-8, 3), V(2, 1)?
    13·1 answer
  • Find the value of the expression
    12·1 answer
  • according to chebyshev's theorem, what perpent of the observatioons lie within plus and minus 2.5 standard deviations of the mea
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!