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Rufina [12.5K]
2 years ago
13

Can someone help me solve this logarithm function

Mathematics
1 answer:
MrRa [10]2 years ago
5 0

Answer:

\boxed{\sf{x=\dfrac{25}{2}=12.5}}

Step-by-step explanation:

Solve the logarithm function.

Put the logarithm function on one side of the equation and x on the other.

<h3>log x + log8=2</h3>

\sf{\log _{10}(x)+\log _{10}(8)=2}

<u>First, subtract by log₁₀(8) from both sides.</u>

\sf{\log _{10}(x)+\log _{10}(8)-\log _{10}(8)=2-\log _{10}(8)}

<u>Solve.</u>

\sf{\log _{10}(x)=2-\log _{10}(8)}

\sf{\log _{10}(x)=2-\log _{10}(8)=\boxed{\sf{x=\dfrac{25}{2} }}

  • <u>Therefore, the correct answer is x=25/2=12.5.</u>

I hope this helps you! Let me know if my answer is wrong or not.

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How can you express 499 to find the product 499 x 5 using mental math? explain
Mashcka [7]
We can write 499 as 499 = 500 - 1

Because it is easy to multiply 500 and 5 compare to 499 to 5.

So product of 499 * 5 = (500 - 1)*5
                                   = 500*5 - 1*5
                                   = 2500 -5 = 2495

So the answer is 2495.
4 0
3 years ago
A department store sells logo shirts at an original price of $20. Every month that a shirt doesn’t sell, the store reduces the s
PilotLPTM [1.2K]

Answer: The pre-tax price of the shirt for Macy will be $5.63

Step-by-step explanation:

Given:

Original price = 20

reduces selling price by 25% every month it's not sold.


First markdown month:

20 * (100%-25%) = 20 * 75% = 15


Second markdown month

15 * 75% = 11.25


Macy, employee gets a 50% discount off the current price.

11.25 * 50% = 5.625

11.25 - 5.625 = 5.625 or 5.63

hope it helps! :)

3 0
3 years ago
Read 2 more answers
What is the function rule for the line?
ludmilkaskok [199]

A: Slope:  

2

3

y-intercept:  

(

0

,

−

2

)

x

y

0

−

2

3

0

6 0
2 years ago
Please include work!
aleksandrvk [35]

Answer:

A) y = x^2 -1

B) -y = 2x^2 +1  We multiply B) by -1

B) y = -2x^2 -1

We can then say x^2 -1 = -2x^2 -1

3 x^2 = 0

x = 0

************* Double-Check: ******************

Equation A) y = -1 and

Equation B) y = -1

Step-by-step explanation:

5 0
3 years ago
Write the equation of the line in point-slope form of the given point and slope. This is an essay style question. If you hit the
svp [43]

Answer:

<h3>y + 2 = 3/7(x-7)</h3>

Step-by-step explanation:

The point-slope form of the equation will be expressed as;

y - y0 = m(x-x0) where;

m is the slope

(x0, y0) is the point on the line

Given

Slope m = 3/7

Point (x0, y0) = (7, -2)

Substitute into the equation;

y - y0 = m(x-x0)

y - (-2) = 3/7 (x - 7)

<em>y + 2 = 3/7(x-7)</em>

<em>Hence the equation in point-slope form is y + 2 = 3/7(x-7)</em>

3 0
2 years ago
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