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eduard
3 years ago
6

Select all of the potential solution(s) of the equation 2log5x=log54.

Mathematics
2 answers:
Ilya [14]3 years ago
8 0
X= -2 and x= 2 are the answers
sergij07 [2.7K]3 years ago
3 0

Given :2log_{5} x^{2} =log_{5} 2^{2}

To solve for x we use the logarithm rule for powers.

The log rule for powers states:

mlog_{a}n =log_{a} n^{m}

We apply this rule to the left side of the equation.

[tex] log_{5} x^{2} =log_{5} 4

Both sides have log with same base so it can be eliminated.

Eliminating log from both sides we have:

[tex] x^{2} =4

To solve for x we take root of both sides

x=2,-2.

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The picture shows the Alamillo bridge in Seville, Spain. In the picture m<1=58 and m<2=24. Find the measure of the supplem
Anna11 [10]

Answer:

Supplement of <1 = 122°

Supplement of <2 = 156°

Step-by-step explanation:

Two pairs of angles are said to be supplementary, if their measures in degrees add up to give us 180°. A supplement of am angle is simply 180° - the measure of that angle.

Given that meadure of angle 1 = 58°, the supplement of angle 1 = 180° - 58° = 122°

Also, if the measure of angle 2 = 24°, the supplement of angle 2 = 180° - 24° = 156°.

Thus:

Supplement of <1 = 122°

Supplement of <2 = 156°

6 0
3 years ago
X, Y and Z form the vertices of a triangle. XY = 12.4m, XZ = 10.4m and YZ = 8.7m. Find the angle ∠ YXZ rounded to 1 DP.
sweet-ann [11.9K]

Answer:

43.8°

Step-by-step explanation:

Applying,

Cosine rule,

From the diagram attached,

x² = y²+z²-2yxcos∅.................... Equation 1

where ∅ = ∠YXZ

Given: x = 8.7 m, y = 10.4 m, z = 12.4 m

Substitute these values  into equation 1

8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]

75.69 = (108.16+153.76)-(257.92cos∅)

75.69 = 261.92-257.92cos∅

collect like terms

257.92cos∅ = 261.92-75.69

257.92cos∅ = 186.23

Divide both sides by the coefficient of cos∅

cos∅ = 186.23/257.92

cos∅ = 0.722

Find the cos⁻¹ of both side.

∅ = cos⁻¹(0.7220)

∅ = 43.78°

∅ = 43.8°

6 0
3 years ago
HELP PLEASE!!! Picture below!
Lady_Fox [76]

Answer:

7 (units)

Step-by-step explanation:

If E is placed at the number 6- then it would take 6 to get to 0. If B is placed at -1, then it would be one more backward to get to B- so it would take 7 to get from E to B.

8 0
2 years ago
Earl Miller receives an annual salary of $30,000. Today, his boss, Jay, informs he will be getting a $3,500 raise. What percent
mixas84 [53]
If you don30,000 + 3,500 you get 33,500 so the answer is 33,500☺️
4 0
3 years ago
What is the midpoint of (10,6) and (4,9)
Leona [35]

Answer:

The midpoint is (7,7.5)

4 0
3 years ago
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