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serious [3.7K]
2 years ago
11

Solve the exponential equation by the method of relating the​ bases, first rewriting the equation in the form

Mathematics
1 answer:
Nookie1986 [14]2 years ago
6 0

Answer:

  x = 1/3

Step-by-step explanation:

Both bases can be written as powers of 6.

  36^x = (1/6)^(x-1) . . . . . . given

  (6^2)^x = (6^-1)^(x -1) . . . . . bases as powers of 6

  6^(2x) = 6^(-x+1) . . . . . . . . . simplify exponents

  2x = -x +1 . . . . . . . . . . . . . . . .equate exponents of the same base

  3x = 1 . . . . . . . add x

  x = 1/3 . . . . . divide by 3

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What does a proportion look like?
AURORKA [14]

A proportion looks like this:

a\div b = c\div d

It means that the quantity a,b,c and d are in the same proportion: the ratio between a and b is the same ratio between c and d.

They are particularly useful in situation when you have an example given, and you want to extrapolate the relationship for another couple.

For example, you can think of the following problem: "Five apples cost 2 dollars. How much will 8 apples cost?"

You can build the proportion

5\div 2 = 8\div x

And then solve it for x:

\dfrac{5}{2}=\dfrac{8}{x} \iff 5x=16 \iff x = \dfrac{16}{5} = 3.2

6 0
3 years ago
How do I find this help please
KIM [24]
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8 0
3 years ago
6b.) Hence, or otherwise, evaluate g(f(3))
statuscvo [17]

Answer:

-25

Step-by-step explanation:

g(f(3))= g(-5)

=4(-5)-5

= -20-5

=-25

6 0
3 years ago
Read 2 more answers
Ten times the square of a non-zero number is equal to fifty times the number. what is the number?
lys-0071 [83]
10x^2 = 50x.....subtract 50x from both sides
10x^2 - 50x = 0...factor
10x(x - 5) = 0

10x = 0
x = 0 <== this one is eliminated because x cannot be zero

x - 5 = 0
x = 5 <== ur answer
4 0
3 years ago
Angel got a new phone with Verizon. They charged Angel $50 each month for service, plus an additional $15 per gigabyte of data u
DedPeter [7]

Answer: 15y+50=x

Step-by-step explanation:

5 0
3 years ago
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