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Len [333]
3 years ago
12

Which logarithmic equation is equivalent to the exponential equation below?

Mathematics
2 answers:
jek_recluse [69]3 years ago
7 0
The answer is B.
ln both sides to clear the 'e' and bring 'a' out of the power.
Fed [463]3 years ago
5 0

Answer:

B. \ln 87.18=a

Step-by-step explanation:

We are given,

The logarithmic equation is 87.18=e^a.

Taking log with base 'e' on both sides, we get,

87.18=e^a

i.e. \log_{e}87.18=\log_{e}e^a  ............(\log x^y=y\log x)

i.e. \log_{e}87.18=a\log_{e}e  ............(\log_{a}a=1

i.e. \log_{e}87.18=a

Thus, option B is correct.

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If B(-5,8) is rotated about the origin by 180°, what are the new x and y coordinates for B'?
gladu [14]

Answer: B' (5, -8)

Step-by-step explanation:

Rotating 180 around the origin rule:

(x,y)--> (-x-y)

B (-5,8) B' (5, -8)

8 0
3 years ago
Help pleaseeeeeeeeeeeeeeeeeeeeee
xxTIMURxx [149]

Answer:

-8 X 3 = -24 + 9 = -15 or you could do    -24+9=-15

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
20 if f(x) = 4x + 5, what is the value of f(-3)?<br> A-2<br> B-7<br> C 17<br> 04
Juliette [100K]

Answer:

B. -7

Step-by-step explanation:

f(x) = 4x + 5

To find the value of f(-3), replace all the x's in f(x) with -3.

f(x) = 4x + 5

f(-3) = 4(-3) + 5

f(-3) = -12 + 5

f(-3) = -7.

This makes your answer B, -7.

5 0
3 years ago
Need brief explanation about why false is correct
anyanavicka [17]

<u>We are given the equation:</u>

(a + b)! = a! + b!

<u>Testing the given equation</u>

In order to test it, we will let: a = 2 and b = 3

So, we can rewrite the equation as:

(2+3)! = 2! + 3!

5! = 2! + 3!

<em>We know that (5! = 120) , (2! = 2) and (3! = 6):</em>

120 = 2 + 6

We can see that LHS ≠ RHS,

So, we can say that the given equation is incorrect

6 0
2 years ago
The principal P is borrowed at a simple interest rater for a period of time t. Find the loan's future value A, or the total amou
Andrews [41]
Simple interest formula:
I=PRT

I(interest money created in dollars)
P(initial amount of money)
R(interest rate as a decimal)
T(time in years)

I=7000(.07)(6)
I=$2,940

Therefore, the future value of A is $2,940
8 0
3 years ago
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