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Oksana_A [137]
3 years ago
6

Which function is the inverse of f(x)=b^x

Mathematics
2 answers:
lara31 [8.8K]3 years ago
7 0

Answer:

Answer is F^1(y)= logb^y

Step-by-step explanation: Apex:)

max2010maxim [7]3 years ago
6 0

Here we are given the function:

f(x)=b^{x}

Steps to find inverse are :

Step 1:

First replace f(x) by y.

y=b^{x}

Step 2:

Replace every  x with a  y and replace every  y with an  x.

x=b^{y}

Step 3:

Solve the equation from step 2 for y.

x=b^{y}

Taking log on both sides:

logx=log(b^{y})

logx=ylogb

y=\frac{logx}{logb}

Answer:

Inverse function is :

y=\frac{logx}{logb}

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What is the solution to the equation below? Round your answer to two decimal places. 4•e^x=17
bixtya [17]

Answer:

\large\boxed{x\approx1.45}

Step-by-step explanation:

4e^x=17\qquad\text{divide both sides by 4}\\\\e^x=\dfrac{17}{4}\qquad \ln\ \text{of both sides}\\\\\ln e^x=\ln\dfrac{17}{4}\qquad\text{use}\ \log_aa^n=n\\\\x=\ln\dfrac{17}{4}\\\\x\approx1.45

7 0
2 years ago
Expand the polynomial:<br> (5a+1/5 b)^2
WINSTONCH [101]
Expand the following:
(5 a + b/5)^2

(5 a + b/5) (5 a + b/5) = (5 a) (5 a) + (5 a) (b/5) + (b/5) (5 a) + (b/5) (b/5):
5×5 a a + (5 a b)/5 + (5 b a)/5 + (b b)/(5×5)

(5 a b)/5 = 5/5×a b = a b:
5×5 a a + a b + (5 b a)/5 + (b b)/(5×5)

(b×5 a)/5 = 5/5×b a = b a:
5×5 a a + a b + b a + (b b)/(5×5)

Combine powers. (b b)/(5×5) = (b^(1 + 1))/(5×5):
5×5 a a + a b + b a + (b^(1 + 1))/(5×5)

1 + 1 = 2:
5×5 a a + a b + b a + (b^2/5)/5

5 a×5 a = 5×5 a^2:
5×5 a^2 + a b + b a + (b^2/5)/5

5×5 = 25:
Answer:  25 a^2 + a b + b a + (b^2/5)/5
3 0
3 years ago
Read 2 more answers
Simplify: (x+7)(x-4)
SVETLANKA909090 [29]

Answer:

x² + 3x - 28

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor

(x + 7)(x - 4)

= x(x - 4) + 7(x - 4) ← distribute both parenthesis

= x² - 4x + 7x - 28 ← collect like terms

= x² + 3x - 28


6 0
2 years ago
What digit does B represent? What digit does C represent?
Ganezh [65]
453 + 557 = 1010

P = 0
B = 5 <==
C = 3 <==
Q = 1
5 0
2 years ago
The stem-and-leaf plot shows the ages of customers who were interviewed in a survey by a store.
Solnce55 [7]

Answer:

Step-by-step explanation:

Given is a steam and leaf plot.

This shows the age of customers who were interviewed in a survey by a store.

From the plot we can say that 10th digit is represented by the stem

For greater than 32, obviously 1,2 stem valus will not work.

For stem 3, we can leave 30 and 31 start with 2 in leaf and 3 n stem

We have 32, onwards 7 persons

Similarly for 4, we have 6, for 5 we have 5, for 6 we have 4 and for 7 we have 1

Total number of customers who have ages more than 32 years = 21

8 0
3 years ago
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