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tensa zangetsu [6.8K]
3 years ago
12

Write an equivalent exponential equation for the following three problems.

Mathematics
1 answer:
Naily [24]3 years ago
8 0

<u>Answer with step-by-step explanation:</u>

We are given three different expressions and we are to write an equivalent exponential equation for them.

We know that the standard form of a logarithmic expression is given by:

y = log_a ( x ) which is equivalent to the exponential form  x = a ^ y.

1. log _ {10} (0.1) = -1 ---> 10^{-1}=0.1

2. log _ {3} 9 = 2 ---> 3^2=9

3. log _ 5 ( \frac { 1 } { \sqrt { 5 } } ) = -\frac { 1 } { 2 } ---> 5^{-\frac{1}{2} }=\frac{1}{\sqrt{5} }

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19, 38, 76, ... find the 8th term
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I think it’s 557

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14. Two parallel lines l and m are intersected by a transversal t. If the interior angles on same side of transversal are (2x−8)
nlexa [21]

Answer:

70° and 110°

Step-by-step explanation:

It is given that, two parallel lines l and m are intersected by a transversal t.

The interior angles on same side of transversal are (2x−8)° and (3x−7)°.

We need to find the measure of these angles.

We know that, the sum of interior angles of the same side of the  transversal is equal to 180°. So,

(2x−8)° + (3x−7)° = 180°

⇒ 5x-15=180°

⇒5x=180°+15

⇒5x=195

⇒x=39

Put x = 39 in (2x−8)°,

(2x−8)° = (2(39)-8)°

=70°

Again put x = 39 in (3x−7)°,

(3x−7)° = (3(39)-7)°

=110°

So, the measure of these angles are 70° and 110°.

8 0
3 years ago
Number A3 part 2 show that x is sufficiently small for x⁴
Dahasolnce [82]
Lopo d’oro es qua la
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2 years ago
Find the values of x when y=1
kirill [66]

Answer:

x=1+\sqrt{5}, 1-\sqrt{5}

Step-by-step explanation:

  1. x^{2} -2x-4=0
  2. (x-1)^{2} -1-4=0
  3. (x-1)^{2} -5=0
  4. (x-1)^{2} =5
  5. x-1=\sqrt{5} ,-\sqrt{5}
  6. x=1+\sqrt{5} , 1-\sqrt{5}

<u>FINAL ANSWER</u>

x=1+\sqrt{5} , 1-\sqrt{5}

<u><em>In Decimal Form (Rounded to 3 significant figures)</em></u>

<em>x≈-1.24, 3.24</em>

6 0
3 years ago
Read 2 more answers
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