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marysya [2.9K]
3 years ago
14

Suppose logbx = logcx, where b ≠ c. Then the value of x can be

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

Not A: We can't have x=0 because \log0 is undefined for a logarithm of any base.

B is true: \log1=0 for any base.

Not C: If x=b^c, then \log_bb^c=c, but \log_cb^c=c\log_bc which only reduces to c if \log_bc=1. This can only happen if b=c, however, but we've assumed otherwise.

Not D: The reasoning for C not being correct is enough to rule out this possibility.

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Complete the proof. Someone please help me answer this!
sammy [17]

Answer:

Step-by-step explanation:

Supplementary angles are two or more angles that add up to give the measure of angle on a straight line (i.e 180^{o}).

It can be deduced from the given question that;

1. <1 and <2 are supplementary, also <1 and <3 are supplementary. Reason: as given in the question.

2. Given statements: m<1 + m<2 = 180^{o}, and m<1 + m<3 =  180^{o}. The reason is the definition of supplementary angles.

3. Statement: m<2 = m<3. The reason is a transitive property.

4. Statement: m<1 + m<2 = m<1 + m<3. The reason is subtraction property of equality.

5.Given statement: <2 ≅ <3. The reason is that definition of congruent angles.

Therefore, <2 ≅ <3.

3 0
3 years ago
Unit price of 1.75 to 10
s2008m [1.1K]
1.75 divide by 10= .18 cents
7 0
3 years ago
Name the angle included by the sides PN and Nm
Schach [20]
They both share angle N
3 0
3 years ago
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What is the best unit to describe the rate at which water flows through a household faucet
andrew11 [14]
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5 0
4 years ago
The sum of the first 3 terms of a geometric series is 171 and the common ratio is 2/3
Nimfa-mama [501]
<h3>Answer:  81</h3>

==============================================

Work Shown:

a = first term

a*(2/3) = (2/3)a= second term

(2/3)a*(2/3) = (4/9)a = third term

note how I multiplied each previous term by the common ratio (2/3) to get the next term

Add up the three terms

a + (2/3)a + (4/9)a = (9/9)a + (6/9)a + (4/9)a = (19/9)a

Set this equal to 171, which is what we want the first three terms to sum to, then solve for 'a'

(19/9)a = 171

a = (9/19)*171

a = 81 is the first term

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

Checking the answer:

a = 81 = first term

(2/3)*a = (2/3)*81 = 54 = second term

(4/9)*a = (4/9)*81 = 36 = third term

adding up the three terms gets us

81+54+36 = 171

so we have confirmed the answer

4 0
3 years ago
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