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aniked [119]
3 years ago
12

What is the solution of log2x − 6 (256) = 4?

Mathematics
2 answers:
timama [110]3 years ago
6 0
So D x= 5 is the right answer

Korvikt [17]3 years ago
5 0

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

log_{2x-6}(256)=4

This equation can be written as

(2x-6)^{log_{2x-6}(256)}=(2x-6)^4

256=(2x-6)^4                         [\because a^{log_ax}=x]

Taking 4th root both sides.

4=(2x-6)

4+6=2x

10=2x

5=x

The value of x is 5.

Therefore correct option is D.

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Three friends Kofi,Yaw and Musa are in partnership business in which Kofi and Yaw contributed 5/9 and 2/15 of the cost of 14000.
wlad13 [49]

Answer:

(a) Total = 45000

(b) Yaw, Musa and Kofi

Step-by-step explanation:

Given

Kofi =5/9

Yaw = 2/15

Musa = 14000

Solving (a): The cost of the business

First, we solve for the fraction of Musa

Musa + Kofi + Yaw = 1

Musa = 1 - (Kofi + Yaw )

Musa = 1 - (5/9 + 2/15)

Musa = 1 - (\frac{25+6}{45})

Musa = 1 - \frac{31}{45}

Musa = \frac{45 - 31}{45}

Musa = \frac{14}{45}

So, we have:

\frac{14}{45} * Total = 14000

Make Total the subject

Total = 14000 * \frac{45}{14}

Total = 1000 * 45

Total = 45000

Solving (b): Partners in ascending order

First, represent the fractions as decimals

Kofi =5/9 = 0.5556

Yaw = 2/15 = 0.1333

Musa = \frac{14}{45} = 0.3111

From the conversion above, the least is 0.1333 (Yaw), then 0.3111 (Musa), then 0.5556 (Kofi).

<em>So, the order is: Yaw, Musa and Kofi</em>

6 0
3 years ago
Given that 3x-y : x+2y = 2 : 5, Determine the ratio x:y
N76 [4]

Answer:

x : y = 9 : 13

Step-by-step explanation:

Given that

3x - y : x + 2y = 2 : 5

Express the ratio in fractional form, that is

\frac{3x-y}{x+2y} = \frac{2}{5} ( cross- multiply )

5(3x - y) = 2(x + 2y) ← distribute parenthesis on both sides )

15x - 5y = 2x + 4y ( subtract 2x from both sides )

13x - 5y = 4y ( add 5y to both sides )

13x = 9y ( divide both sides by 13 )

x = \frac{9}{13} y ( divide both sides by y )

\frac{x}{y} = \frac{9}{13} , that is

x : y = 9 : 13

7 0
3 years ago
Which of the following is the equation of a line perpendicular to the line y = -10x + 1, passing through the point (5,7)?
Viktor [21]
Line 1;
y=-10x+1
Gradient m= -10
Gradient of line 2= 1/10
\frac{y-5}{x-7} = \frac{1}{10}
y-5=\frac{1}{10} {x-7}
y-5=\frac{1}{10} x- \frac{7}{10}
y=\frac{1}{10} x- \frac{43}{10}

6 0
3 years ago
Read 2 more answers
A family pays $34.56 for souvenirs on vacation if the sales tax is 7.5% what is the total amount the family spent on souvenirs
Harman [31]

Answer: $37.15

Step-by-step explanation:

7 0
2 years ago
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How to slove 7 - w = 2.2
vova2212 [387]
Subtract 2.2 from 7 and that will be equal to w
7 0
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