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
ivann1987 [24]
3 years ago
11

Prove that 1÷loga ab + 1÷logb ab=1​

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

1 ÷ loga ab + 1 ÷ logb ab

=  1 / (loga ab)  +   1 /  (loga ab / loga b)    { change of log base)

= 1 / (loga ab) +  loga b / (loga ab)

=  (1 + loga b) / loga ab

=  (1 + loga b) / (loga a + loga b)    Now loga a = 1 so we have:

((1 + loga b) / (1 + loga b)

= 1.

You might be interested in
-8 = x divided by 4 + 3
Diano4ka-milaya [45]

Answer:

x = -44

Step-by-step explanation:

-8 = x/4 + 3

-8 - 3 = x/4 + 3 - 3

-11 = x/4

-11 x 4 = (x/4) x 4

-44 = x

7 0
3 years ago
Liliana is renting a beach house for a family vacation. The house charges a $75 cleaning fee plus $95 per night. If Liliana want
Elenna [48]
95n+75 is less than or equal to 645. 645-75=570. 95n is less than or equal to 570. 570/95=6. A maximum of six nights
6 0
3 years ago
Read 2 more answers
Mrs. Tomas says that the number of students in her class on this week has no variability. Her student, Pierce, says that it does
user100 [1]

Answer:

Step-by-step explanation:

6 0
3 years ago
Each step in a procedure to solve this equation is shown. Equation: 5x – 7 = 3(x + 1) Step 1: 51 – 7 = 3x + 3 Step 2: 2x – 7 = 3
NeTakaya

Answer:

I think the first mistake was made in step 1

5 0
3 years ago
At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The num
horrorfan [7]

in the equation as we can say x= 2y-10.

so, substitute x=2y-10 everywhere then the x in 1240 gets cancelled with 2y-10 then solve the remaining you will get 4y-20+3y=1240

7y=1260

y=1260/7

y=180

then substitute the value of y everywhere

2x+3y=1240

2x+3(180)=1240

2x=1240-540

2x=700

x=350

DONE.

8 0
4 years ago
Other questions:
  • I don't know how to do this what's the answer??
    6·1 answer
  • I’ll do all of your math homework and get u an A.
    11·1 answer
  • If a cruise ship was going 24 mph and traveled 15 miles, how long did it take it to get to it's destination?
    14·1 answer
  • Mr. Brown's class is collecting books for a book drive. They started with 2 books. On the first day, they had 6 books. On the se
    14·2 answers
  • How much is the investment worth after 2 decades? (1 point)
    10·1 answer
  • 7. what is the value of x
    14·2 answers
  • Solve for q. <br><br> 16pq^2 =25
    10·2 answers
  • If a baseball teams radio of wins to losses is 3 to 4 what is the radio of wins to games played ? (There are no ties)
    11·1 answer
  • If m∠D + m∠E = 180°, then ∠D and ∠E are classified as what kind of angles?
    10·1 answer
  • Help plsssss it would mean alottttttt
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!