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
lys-0071 [83]
3 years ago
12

What is the solution to log 5 (x+30)= 3

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
7 0

Answer:

x = 95

Step-by-step explanation:

Using the rule of logarithms

• log_{b} x = n ⇔ x = b^{n}

Given

log_{5}(x + 30) = 3, then

x + 30 = 5³ = 125 ( subtract 30 from both sides )

x = 95

You might be interested in
4(3m-8)=-80 solve each equation for the given variable
Bingel [31]
12m-32=-80
12m=-80+32
12m=-48
m=-4
8 0
3 years ago
Enter an algebraic equation for the sentence. Use x as your variable.
Nuetrik [128]
I think the answer is 4x - 15 = 6 + 1/2x
4 0
3 years ago
How many photocopies can you make for $2.00 at the rate of three copies for ten cents?
tigry1 [53]
Im not 100% that thats correct but im pretty sure it is.
6 0
3 years ago
Read 2 more answers
The lifespan of a guinea pig is 6 years less than that of a giraffe. The lifespan of a tiger is 4 times that of the guinea pig.
Ronch [10]

Answer:

Giraffe = 10

Guinea Pig = 4

Tiger = 16

Step-by-step explanation:

G       GP      T                                  = 30

----------------------------------------------------------

X      X-6     (X-6)*4

-----------------------------------------------------------

9         3         12                               = 24

----------------------------------------------------------

10       4         16                               = 30 ✅

----------------------------------------------------------

4 0
2 years ago
2.The diagonals of a rhombus are in the ratio 5:12. If its perimeter is 104 CM, findthe lengths of the sides and the diagonals.​
coldgirl [10]

Answer:

Lenghts of the sides: 26\ cm

Lenghts of the diagonals: 48\ cm and 20\ cm

Step-by-step explanation:

Look at the rhombus ABCD shown attached, where AC and BD de diagonals of the rhombus.

The sides of a rhombus have equal lenght. Then, since the perimeter of this one is 104 centimeters, you can find the lenght of each side as following:

AB=BC=CD=DA=\frac{104\ cm}{4}= 26\ cm

You know that the diagonals are in the ratio 5:12

Then, let the diagonal AC be:

AC=12x

This means that AE is:

AE=\frac{12x}{2}=6x

And let the diagonal BD be:

BD=5x

So BE is:

BE=\frac{5x}{2}=2.5x

Since the diagonals of a rhombus are perpendicular to each other, four right triangles are formed, so you can use the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs.

In this case, you can choose the triangle ABE. Then:

a=AB=26\\b=AE=6x\\c=BE=2.5x

Substituting values and solving for "x", you get:

26^2=(6x)^2+(2.5x)^2\\\\676=36x^2+6.25x^2\\\\\sqrt{\frac{676}{42.25}}=x\\\\x=4

Therefore, the lenghts of the diagonals are:

AC=12(4)\ cm=48\ cm

BD=5(4)\ cm=20\ cm

8 0
3 years ago
Other questions:
  • Q10 please people. Any answers :)
    5·1 answer
  • HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!
    14·1 answer
  • The Buchanan Town Carnival charges $5 to enter and $2 for each ride. Write an expression to  represent how much it would cost to
    7·1 answer
  • Millie and kim both entered a pumpkins in the county fair. Millie's pumpkin weighs 52 1/4 lbs. Kim's pumpkin is 90% as big as Mi
    10·2 answers
  • Find the slope of the line through the given points.<br> (-9, -7) and (-11, -13)
    7·1 answer
  • What is 20% of 60? Its a question for a exit ticket
    7·2 answers
  • 22 x² y–55xy² in factorization​
    5·1 answer
  • Please answer this for me correctly. THANK YOU!!
    15·1 answer
  • Find the cardinal number for the set A = {a,b,c,d,e,f,g}
    10·1 answer
  • Treena flew home to visit her family for
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!